Pseudo-prognostic TKE scheme in ALARO
|
|
|
- Stephanie Norton
- 5 years ago
- Views:
Transcription
1 Pseudo-prognostic T scee in ALARO Jean-François Geeyn ČHMÚ on eave of absence fro Meteo France Fiip Váňa ČHMÚ Czec ydroeteoroogica institute Jure Cedinik ARSO nvironenta agency of Sovenia Met. office Martina Tudor DHMZ Croatian eteoroogica and ydroogica service Radia Brožkova ČHMÚ Czec ydroeteoroogica institute Bart Catry Gent University Begiu
2 16 t ALADIN worksop Sofia May 06 2/16 Pseudo-prognostic T scee in ALARO Outine of te tak T: wat's in ALADIN pt: idea ipeentation ALARO resuts
3 16 t ALADIN worksop Sofia May 06 3/16 Pseudo-prognostic T scee in ALARO T in ALADIN Louis type scee: - ony vertica diffusion - diagnosed vaues for turbuent coefficients current scee is perforing we for scaes around 10k (we don't want to trow away tat!) anti-fibriation treatent
4 16 t ALADIN worksop Sofia May 06 4/16 Pseudo-prognostic T scee in ALARO Pseudo wat?! sti copute diagnosed coefficients repace fu T equation wit a pseudo one (suc tat its soution wi be te diagnosed coefficients) foow and extend te idea of Redesperger Maé and Carotti (2001) inor code canges keep wat is good
5 16 t ALADIN worksop Sofia May 06 5/16 Pseudo-prognostic T scee in ALARO Fu T going pseudo fu T = advection t + diffusion + ecanica or sear production/destruction + buoyancy production/consuption + viscous dissipation pseudo T t = advection + diffusion + Newtonian reaxation towards soeting
6 16 t ALADIN worksop Sofia May 06 6/16 Pseudo-prognostic T scee in ALARO Pseudo prognostic T equation t 1 1 Adv( ) ( z z ) Were do we get fro? And wat do we reax towards?
7 16 t ALADIN worksop Sofia May 06 7/16 Pseudo-prognostic T scee in ALARO Procedure (1) n d dt f ( )
8 16 t ALADIN worksop Sofia May 06 8/16 Pseudo-prognostic T scee in ALARO RMC01 atc subgrid scae turbuence scee ( fu T scee ) and siiarity aws (Monin-Obukov) at surface extension of RMC01: extend tis to te woe dept of te atospere (not just ) z
9 Pseudo-prognostic T scee in ALARO 16 t ALADIN worksop Sofia May 06 9/16 Procedure (2) ) ( f dt d n 2 1 n? 3? 1 Te ony tuning paraeter: 5 0.
10 10/16 Agoritics tree eve stenci in te vertica for te Newtonian reaxation ( s are on af eves) [a reaxation for a given ayer is a weigted average of reaxations on neigbouring af eves] suc a reaxation operator is copatibe wit te diffusion one te atrix is diagona doinant and te soution is ineary stabe ake sure tat te diffusion part is doinant (no osciating ode coing fro 16 t ALADIN worksop Sofia May 06 Pseudo-prognostic T scee in ALARO
11 16 t ALADIN worksop Sofia May 06 Pseudo-prognostic T scee in ALARO Resuts (1) 11/16 Acadeic test wit 1D ode: GABLS II experient
12 16 t ALADIN worksop Sofia May 06 Pseudo-prognostic T scee in ALARO Resuts (2) Acadeic test wit 1D ode: GABLS II experient 12/16
13 16 t ALADIN worksop Sofia May 06 13/16 Pseudo-prognostic T scee in ALARO Resuts (3) T vertica crosssection. T Situation wit strong barocinic zone. Loca T axiu were te tropopause fods down
14 16 t ALADIN worksop Sofia May 06 14/16 Pseudo-prognostic T scee in ALARO Resuts (4) Parae suite scores Dec 2005 RMS difference aps pt Oper vs TMPs (8 days): eft geopotentia (); rigt: teperature (). Negative vaues (coor) -> e-suite is better.
15 16 t ALADIN worksop Sofia May 06 15/16 Pseudo-prognostic T scee in ALARO Resuts (5) Parae suite scores Dec 2005 Z500 T850 RH850 W700 Bias: back soid: operationa red dased: pt
16 16 t ALADIN worksop Sofia May 06 16/16 Pseudo-prognostic T scee in ALARO Concusions tie stabiity for ong tie steps stabe vertica staggering - fu eve T vaues no probes wit SL advection anti-fibriation treatent is very easiy appicabe s are on af eves suitabe coice of fixes potentia probes SLHD works we wit precise SL interpoators (not necessary to use QM) pt is abe to iic ft - provided one can copute differenty taking into account ore precisey sear and buoyancy production/consuption and ixing entg specification as we (future work...)
17 Pseudo-prognostic T scee in ALARO 16 t ALADIN worksop Sofia May 06 17/16 Procedure (2) ) ( f dt d n 2 1 n R? 3? Te ony tuning paraeter:
Theory and implementation behind: Universal surface creation - smallest unitcell
Teory and impementation beind: Universa surface creation - smaest unitce Bjare Brin Buus, Jaob Howat & Tomas Bigaard September 15, 218 1 Construction of surface sabs Te aim for tis part of te project is
The basic equation for the production of turbulent kinetic energy in clouds is. dz + g w
Turbuence in couds The basic equation for the production of turbuent kinetic energy in couds is de TKE dt = u 0 w 0 du v 0 w 0 dv + g w q 0 q 0 e The first two terms on the RHS are associated with shear
Introduction to Simulation - Lecture 14. Multistep Methods II. Jacob White. Thanks to Deepak Ramaswamy, Michal Rewienski, and Karen Veroy
Introduction to Simuation - Lecture 14 Mutistep Methods II Jacob White Thans to Deepa Ramaswamy, Micha Rewiensi, and Karen Veroy Outine Sma Timestep issues for Mutistep Methods Reminder about LTE minimization
Introduction to Simulation - Lecture 13. Convergence of Multistep Methods. Jacob White. Thanks to Deepak Ramaswamy, Michal Rewienski, and Karen Veroy
Introduction to Simuation - Lecture 13 Convergence of Mutistep Methods Jacob White Thans to Deepa Ramaswamy, Micha Rewiensi, and Karen Veroy Outine Sma Timestep issues for Mutistep Methods Loca truncation
MVT and Rolle s Theorem
AP Calculus CHAPTER 4 WORKSHEET APPLICATIONS OF DIFFERENTIATION MVT and Rolle s Teorem Name Seat # Date UNLESS INDICATED, DO NOT USE YOUR CALCULATOR FOR ANY OF THESE QUESTIONS In problems 1 and, state
APPENDIX B. Some special functions in low-frequency seismology. 2l +1 x j l (B.2) j l = j l 1 l +1 x j l (B.3) j l = l x j l j l+1
APPENDIX B Soe specia functions in ow-frequency seisoogy 1. Spherica Besse functions The functions j and y are usefu in constructing ode soutions in hoogeneous spheres (fig B1). They satisfy d 2 j dr 2
Instructional Objectives:
Instructiona Objectives: At te end of tis esson, te students soud be abe to understand: Ways in wic eccentric oads appear in a weded joint. Genera procedure of designing a weded joint for eccentric oading.
Multiphasic equations for a NWP system
Mutiphasic equations for a NWP system CNRM/GMME/Méso-NH 21 novembre 2005 1 / 37 Contents 1 2 3 4 5 6 Individua mass species equations Momentum equation Thermodynamics equations Mutiphasics systems in practice
Derivative at a point
Roberto s Notes on Differential Calculus Capter : Definition of derivative Section Derivative at a point Wat you need to know already: Te concept of liit and basic etods for coputing liits. Wat you can
Polynomial Functions. Linear Functions. Precalculus: Linear and Quadratic Functions
Concepts: definition of polynomial functions, linear functions tree representations), transformation of y = x to get y = mx + b, quadratic functions axis of symmetry, vertex, x-intercepts), transformations
Lecture 17 - The Secrets we have Swept Under the Rug
Lecture 17 - The Secrets we have Swept Under the Rug Today s ectures examines some of the uirky features of eectrostatics that we have negected up unti this point A Puzze... Let s go back to the basics
Lagrangean relaxation for minimizing the weighted number of late jobs on parallel machines p.1/18. PMS 2002 Valencia, Spain
Lagrangean reaxation for iniizing the weighted nuber of ate obs on parae achines PMS 00 Vaencia Spain Stéphane DauzèrePérès and Marc Sevaux dauze@en.fr sevaux@univvaenciennes.fr Ecoe des Mines de Nantes
1. Measurements and error calculus
EV 1 Measurements and error cacuus 11 Introduction The goa of this aboratory course is to introduce the notions of carrying out an experiment, acquiring and writing up the data, and finay anayzing the
Supplemental Notes to. Physical Geodesy GS6776. Christopher Jekeli. Geodetic Science School of Earth Sciences Ohio State University
Suppementa Notes to ysica Geodesy GS6776 Cristoper Jekei Geodetic Science Scoo of Eart Sciences Oio State University 016 I. Terrain eduction (or Correction): Te terrain correction is a correction appied
THE THREE POINT STEINER PROBLEM ON THE FLAT TORUS: THE MINIMAL LUNE CASE
THE THREE POINT STEINER PROBLEM ON THE FLAT TORUS: THE MINIMAL LUNE CASE KATIE L. MAY AND MELISSA A. MITCHELL Abstract. We show how to identify the minima path network connecting three fixed points on
Mass Transport 2: Fluids Outline
ass Transport : Fuids Outine Diffusivity in soids, iquids, gases Fick s 1st aw in fuid systems Diffusion through a stagnant gas fim Fick s nd aw Diffusion in porous media Knudsen diffusion ass Transfer
lecture 35: Linear Multistep Mehods: Truncation Error
88 lecture 5: Linear Multistep Meods: Truncation Error 5.5 Linear ultistep etods One-step etods construct an approxiate solution x k+ x(t k+ ) using only one previous approxiation, x k. Tis approac enoys
Impact of horizontal diffusion, radiation and cloudiness parametrization on fog forecasting in valleys (Meteorol Atmos Phys, 2010, 108:57-70)
Impact of horizontal diffusion, radiation and cloudiness parametrization on fog forecasting in valleys (Meteorol Atmos Phys, 2010, 108:57-70) Martina Tudor Research Department Croatian Meteorological and
A REGULARIZED GMRES METHOD FOR INVERSE BLACKBODY RADIATION PROBLEM
Wu, J., Ma. Z.: A Reguarized GMRES Method for Inverse Backbody Radiation Probe THERMAL SCIENCE: Year 3, Vo. 7, No. 3, pp. 847-85 847 A REGULARIZED GMRES METHOD FOR INVERSE BLACKBODY RADIATION PROBLEM by
Brine Discharge Plumes on a Sloping Beach
Brine Discharge Pumes on a Soping Beach H.H. AL-BARWANI, Anton PURNAMA Department of Mathematics and Statistics, Coege of Science Sutan Qaboos Universit, PO Bo 6, A-Khod 1, Muscat, Sutanate of Oman E-mai:
The Bending of Rectangular Deep Beams with Fixed at Both Ends under Uniform Load
Engineering,,, 8-9 doi:.6/eng..7 Pubised Onine December (ttp://.scirp.org/journa/eng) Te Bending of Rectanguar Deep Beams it Fied at Bot Ends under Uniform Load Abstract Ying-Jie Cen, Bao-Lian Fu, Gang
Module 22: Simple Harmonic Oscillation and Torque
Modue : Simpe Harmonic Osciation and Torque.1 Introduction We have aready used Newton s Second Law or Conservation of Energy to anayze systems ike the boc-spring system that osciate. We sha now use torque
Factorizations of Invertible Symmetric Matrices over Polynomial Rings with Involution
Goba Journa of Pure and Appied Matheatics ISSN 0973-1768 Voue 13 Nuber 10 (017) pp 7073-7080 Research India Pubications http://wwwripubicationco Factorizations of Invertibe Syetric Matrices over Poynoia
Methods for Ordinary Differential Equations. Jacob White
Introduction to Simuation - Lecture 12 for Ordinary Differentia Equations Jacob White Thanks to Deepak Ramaswamy, Jaime Peraire, Micha Rewienski, and Karen Veroy Outine Initia Vaue probem exampes Signa
University of Alabama Department of Physics and Astronomy. PH 105 LeClair Summer Problem Set 11
University of Aabaa Departent of Physics and Astronoy PH 05 LeCair Suer 0 Instructions: Probe Set. Answer a questions beow. A questions have equa weight.. Due Fri June 0 at the start of ecture, or eectronicay
Chemistry 3502 Physical Chemistry II (Quantum Mechanics) 3 Credits Fall Semester 2003 Christopher J. Cramer. Lecture 12, October 1, 2003
Cemistry 350 Pysica Cemistry II (Quantum Mecanics) 3 Credits Fa Semester 003 Cristoper J. Cramer Lecture 1, October 1, 003 Soved Homework We are asked to demonstrate te ortogonaity of te functions Φ(φ)
Physics 121, April 1, Equilibrium. Physics 121. April 1, Physics 121. April 1, Course Information. Discussion of Exam # 2
Pysics 121, April 1, 2008. Pysics 121. April 1, 2008. Course Information Discussion of Exam # 2 Topics to be discussed today: Requirements for Equilibrium Gravitational Equilibrium Sample problems Pysics
1D Heat Propagation Problems
Chapter 1 1D Heat Propagation Probems If the ambient space of the heat conduction has ony one dimension, the Fourier equation reduces to the foowing for an homogeneous body cρ T t = T λ 2 + Q, 1.1) x2
A Simple Framework of Conservative Algorithms for the Coupled Nonlinear Schrödinger Equations with Multiply Components
Coun. Theor. Phys. 61 (2014) 703 709 Vo. 61, o. 6, June 1, 2014 A Sipe Fraework of Conservative Agoriths for the Couped oninear Schrödinger Equations with Mutipy Coponents QIA u ( ), 1,2, SOG Song-He (
Copyright information to be inserted by the Publishers. Unsplitting BGK-type Schemes for the Shallow. Water Equations KUN XU
Copyright information to be inserted by the Pubishers Unspitting BGK-type Schemes for the Shaow Water Equations KUN XU Mathematics Department, Hong Kong University of Science and Technoogy, Cear Water
Online Appendix. to Add-on Policies under Vertical Differentiation: Why Do Luxury Hotels Charge for Internet While Economy Hotels Do Not?
Onine Appendix to Add-on Poicies under Vertica Differentiation: Wy Do Luxury Hotes Carge for Internet Wie Economy Hotes Do Not? Song Lin Department of Marketing, Hong Kong University of Science and Tecnoogy
Phase Diagrams. Chapter 8. Conditions for the Coexistence of Multiple Phases. d S dt V
hase Diaras Chapter 8 hase - a for of atter that is unifor with respect to cheica coposition and the physica state of areation (soid, iquid, or aseous phases) icroscopicay and acroscopicay. Conditions
4.2 - Richardson Extrapolation
. - Ricardson Extrapolation. Small-O Notation: Recall tat te big-o notation used to define te rate of convergence in Section.: Definition Let x n n converge to a number x. Suppose tat n n is a sequence
Strauss PDEs 2e: Section Exercise 1 Page 1 of 7
Strauss PDEs 2e: Section 4.3 - Exercise 1 Page 1 of 7 Exercise 1 Find the eigenvaues graphicay for the boundary conditions X(0) = 0, X () + ax() = 0. Assume that a 0. Soution The aim here is to determine
University of California, Berkeley Physics 7A Spring 2009 (Yury Kolomensky) SOLUTIONS TO PRACTICE PROBLEMS FOR THE FINAL EXAM
1 University of Caifornia, Bereey Physics 7A Spring 009 (Yury Koomensy) SOLUIONS O PRACICE PROBLEMS FOR HE FINAL EXAM Maximum score: 00 points 1. (5 points) Ice in a Gass You are riding in an eevator hoding
A complete set of ladder operators for the hydrogen atom
A copete set of adder operators for the hydrogen ato C. E. Burkhardt St. Louis Counity Coege at Forissant Vaey 3400 Persha Road St. Louis, MO 6335-499 J. J. Leventha Departent of Physics University of
General Certificate of Education Advanced Level Examination June 2010
Genera Certificate of Education Advanced Leve Examination June 2010 Human Bioogy HBI6T/Q10/task Unit 6T A2 Investigative Skis Assignment Task Sheet The effect of using one or two eyes on the perception
Continuity and Differentiability Worksheet
Continuity and Differentiability Workseet (Be sure tat you can also do te grapical eercises from te tet- Tese were not included below! Typical problems are like problems -3, p. 6; -3, p. 7; 33-34, p. 7;
Involutions and representations of the finite orthogonal groups
Invoutions and representations of the finite orthogona groups Student: Juio Brau Advisors: Dr. Ryan Vinroot Dr. Kaus Lux Spring 2007 Introduction A inear representation of a group is a way of giving the
4 Separation of Variables
4 Separation of Variabes In this chapter we describe a cassica technique for constructing forma soutions to inear boundary vaue probems. The soution of three cassica (paraboic, hyperboic and eiptic) PDE
April 1980 TR/96. Extrapolation techniques for first order hyperbolic partial differential equations. E.H. Twizell
TR/96 Apri 980 Extrapoatio techiques for first order hyperboic partia differetia equatios. E.H. Twize W96086 (0) 0. Abstract A uifor grid of step size h is superiposed o the space variabe x i the first
Problem Set 6: Solutions
University of Aabama Department of Physics and Astronomy PH 102 / LeCair Summer II 2010 Probem Set 6: Soutions 1. A conducting rectanguar oop of mass M, resistance R, and dimensions w by fas from rest
Lecture contents. NNSE 618 Lecture #11
Lecture contents Couped osciators Dispersion reationship Acoustica and optica attice vibrations Acoustica and optica phonons Phonon statistics Acoustica phonon scattering NNSE 68 Lecture # Few concepts
SECTION A. Question 1
SECTION A Question 1 (a) In the usua notation derive the governing differentia equation of motion in free vibration for the singe degree of freedom system shown in Figure Q1(a) by using Newton's second
HO 25 Solutions. = s. = 296 kg s 2. = ( kg) s. = 2π m k and T = 2π ω. kg m = m kg. = 2π. = ω 2 A = 2πf
HO 5 Soution 1.) haronic ociator = 0.300 g with an idea pring T = 0.00 T = π T π π o = = ( 0.300 g) 0.00 = 96 g = 96 N.) haronic ociator = 0.00 g and idea pring = 140 N F = x = a = d x dt o the dipaceent
AN INVESTIGATION ON SEISMIC ANALYSIS OF SHALLOW TUNEELS IN SOIL MEDIUM
The 4 th October -7, 8, Beijing, China AN INVESTIGATION ON SEISMIC ANALYSIS OF SHALLOW TUNEELS IN SOIL MEDIUM J. Boouri Bazaz and V. Besharat Assistant Professor, Dept. of Civi Engineering, Ferdowsi University,
1. Which one of the following expressions is not equal to all the others? 1 C. 1 D. 25x. 2. Simplify this expression as much as possible.
004 Algebra Pretest answers and scoring Part A. Multiple coice questions. Directions: Circle te letter ( A, B, C, D, or E ) net to te correct answer. points eac, no partial credit. Wic one of te following
Modelling diabatic atmospheric boundary layer using a RANS-CFD code with a k-ε turbulence closure F. VENDEL
Modelling diabatic atospheric boundary layer using a RANS-CFD code with a k-ε turbulence closure F. VENDEL Florian Vendel 1, Guillevic Laaison 1, Lionel Soulhac 1, Ludovic Donnat 2, Olivier Duclaux 2,
JANE PROFESSOR WW Prob Lib1 Summer 2000
JANE PROFESSOR WW Prob Lib Summer 2000 Sample WeBWorK problems. WeBWorK assignment Derivatives due 2//06 at 2:00 AM..( pt) If f x 9, find f 0. 2.( pt) If f x 7x 27, find f 5. 3.( pt) If f x 7 4x 5x 2,
Related Topics Maxwell s equations, electrical eddy field, magnetic field of coils, coil, magnetic flux, induced voltage
Magnetic induction TEP Reated Topics Maxwe s equations, eectrica eddy fied, magnetic fied of cois, coi, magnetic fux, induced votage Principe A magnetic fied of variabe frequency and varying strength is
CS229 Lecture notes. Andrew Ng
CS229 Lecture notes Andrew Ng Part IX The EM agorithm In the previous set of notes, we taked about the EM agorithm as appied to fitting a mixture of Gaussians. In this set of notes, we give a broader view
Notes: DERIVATIVES. Velocity and Other Rates of Change
Notes: DERIVATIVES Velocity and Oter Rates of Cange I. Average Rate of Cange A.) Def.- Te average rate of cange of f(x) on te interval [a, b] is f( b) f( a) b a secant ( ) ( ) m troug a, f ( a ) and b,
MAT 145. Type of Calculator Used TI-89 Titanium 100 points Score 100 possible points
MAT 15 Test #2 Name Solution Guide Type of Calculator Used TI-89 Titanium 100 points Score 100 possible points Use te grap of a function sown ere as you respond to questions 1 to 8. 1. lim f (x) 0 2. lim
SE-514 (OPTIMAL CONTROL) OPTIMAL CONTROL FOR SINGLE AND DOUBLE INVERTED PENDULUM. DONE BY: Fatai Olalekan ( Ayman Abdallah (973610)
SE-54 (OPTIAL CONTROL OPTIAL CONTROL FOR SINGLE AND DOUBLE INVERTED PENDULU DONE BY: Fatai Oaekan (363 Ayman Abdaah (9736 PREPARED FOR: Dr. Sami E-Ferik Tabe of contents Abstract... 3 Introduction... 3
1 Proving the Fundamental Theorem of Statistical Learning
THEORETICAL MACHINE LEARNING COS 5 LECTURE #7 APRIL 5, 6 LECTURER: ELAD HAZAN NAME: FERMI MA ANDDANIEL SUO oving te Fundaental Teore of Statistical Learning In tis section, we prove te following: Teore.
Chemical Kinetics Part 2. Chapter 16
Chemica Kinetics Part 2 Chapter 16 Integrated Rate Laws The rate aw we have discussed thus far is the differentia rate aw. Let us consider the very simpe reaction: a A à products The differentia rate reates
MINISTRY OF EDUCATION AND SCIENCE OF UKRAINE. National aerospace university Kharkiv Aviation Institute. Department of aircraft strength
MINISTRY OF EDUCTION ND SCIENCE OF UKRINE Nationa aerospace uniersity Karki iation Institute Department of aircraft strengt Course Mecanics of materias and structures HOME PROBLEM 6 Graps of Sear and Norma
1 + t5 dt with respect to x. du = 2. dg du = f(u). du dx. dg dx = dg. du du. dg du. dx = 4x3. - page 1 -
Eercise. Find te derivative of g( 3 + t5 dt wit respect to. Solution: Te integrand is f(t + t 5. By FTC, f( + 5. Eercise. Find te derivative of e t2 dt wit respect to. Solution: Te integrand is f(t e t2.
Fluids and Buoyancy. 1. What will happen to the scale reading as the mass is lowered?
Fluids and Buoyancy. Wat will appen to te scale reading as te mass is lowered? M Using rcimedes Principle: any body fully or partially submerged in a fluid is buoyed up by a force equal to te weigt of
2.11 That s So Derivative
2.11 Tat s So Derivative Introduction to Differential Calculus Just as one defines instantaneous velocity in terms of average velocity, we now define te instantaneous rate of cange of a function at a point
Chemical Kinetics Part 2
Integrated Rate Laws Chemica Kinetics Part 2 The rate aw we have discussed thus far is the differentia rate aw. Let us consider the very simpe reaction: a A à products The differentia rate reates the rate
. h I B. Average velocity can be interpreted as the slope of a tangent line. I C. The difference quotient program finds the exact value of f ( a)
Capter Review Packet (questions - ) KEY. In eac case determine if te information or statement is correct (C) or incorrect (I). If it is incorrect, include te correction. f ( a ) f ( a) I A. represents
Lesson 6: The Derivative
Lesson 6: Te Derivative Def. A difference quotient for a function as te form f(x + ) f(x) (x + ) x f(x + x) f(x) (x + x) x f(a + ) f(a) (a + ) a Notice tat a difference quotient always as te form of cange
Nuclear Size and Density
Nucear Size and Density How does the imited range of the nucear force affect the size and density of the nucei? Assume a Vecro ba mode, each having radius r, voume V = 4/3π r 3. Then the voume of the entire
Technical Data for Profiles. Groove position, external dimensions and modular dimensions
Technica Data for Profies Extruded Profie Symbo A Mg Si 0.5 F 25 Materia number.206.72 Status: artificiay aged Mechanica vaues (appy ony in pressing direction) Tensie strength Rm min. 245 N/mm 2 Yied point
IIT JEE, 2005 (MAINS) SOLUTIONS PHYSICS 1
IIT JEE, 5 (MINS) SOLUTIONS YSIS iscaimer: Tis booket contains te questions of IIT-JEE 5, Main Examination based on te memory reca of students aong wit soutions provided by te facuty of riiant Tutorias.
Numerical Differentiation
Numerical Differentiation Finite Difference Formulas for te first derivative (Using Taylor Expansion tecnique) (section 8.3.) Suppose tat f() = g() is a function of te variable, and tat as 0 te function
Atm S 547 Boundary Layer Meteorology
Lecture 9. Nonlocal BL parameterizations for clear unstable boundary layers In tis lecture Nonlocal K-profile parameterization (e. g. WRF-YSU) for dry convective BLs EDMF parameterizations (e. g. ECMWF)
Differential Calculus (The basics) Prepared by Mr. C. Hull
Differential Calculus Te basics) A : Limits In tis work on limits, we will deal only wit functions i.e. tose relationsips in wic an input variable ) defines a unique output variable y). Wen we work wit
PANM 17. Pavel Burda; Martin Hasal An a posteriori error estimate for the Stokes-Brinkman problem in a polygonal domain
PANM 17 Pave Burda; Martin Hasa An a posteriori error estimate for te Stokes-Brinkman probem in a poygona domain In: Jan Ceboun and Petr Přikry and Kare Seget and Jakub Šístek and Tomáš Vejcodský (eds.):
17 Lecture 17: Recombination and Dark Matter Production
PYS 652: Astrophysics 88 17 Lecture 17: Recombination and Dark Matter Production New ideas pass through three periods: It can t be done. It probaby can be done, but it s not worth doing. I knew it was
Research on liquid sloshing performance in vane type tank under microgravity
IOP Conference Series: Materias Science and Engineering PAPER OPEN ACCESS Research on iquid soshing performance in vane type tan under microgravity Reated content - Numerica simuation of fuid fow in the
PHYS 110B - HW #1 Fall 2005, Solutions by David Pace Equations referenced as Eq. # are from Griffiths Problem statements are paraphrased
PHYS 110B - HW #1 Fa 2005, Soutions by David Pace Equations referenced as Eq. # are from Griffiths Probem statements are paraphrased [1.] Probem 6.8 from Griffiths A ong cyinder has radius R and a magnetization
OSCILLATIONS. dt x = (1) Where = k m
OSCILLATIONS Periodic Motion. Any otion, which repeats itsef at reguar interva of tie, is caed a periodic otion. Eg: 1) Rotation of earth around sun. 2) Vibrations of a sipe penduu. 3) Rotation of eectron
MODELLING, SIMULATION AND OPTIMIZATION OF DAMPING
MODELLNG SMULAON AND OPMZAON O DAMPNG Jiří Vondřich Evžen hőnde Departent of Eectric Drives and raction acut of Eectrica Engineering zech echnica Universit in Prague Astract Modeing siuation and optiization
Mathematics 105 Calculus I. Exam 1. February 13, Solution Guide
Matematics 05 Calculus I Exam February, 009 Your Name: Solution Guide Tere are 6 total problems in tis exam. On eac problem, you must sow all your work, or oterwise torougly explain your conclusions. Tere
4.3 Proving Lines are Parallel
Nae Cass Date 4.3 Proving Lines are Parae Essentia Question: How can you prove that two ines are parae? Expore Writing Converses of Parae Line Theores You for the converse of and if-then stateent "if p,
5.1 introduction problem : Given a function f(x), find a polynomial approximation p n (x).
capter 5 : polynomial approximation and interpolation 5 introduction problem : Given a function f(x), find a polynomial approximation p n (x) Z b Z application : f(x)dx b p n(x)dx, a a one solution : Te
Simple Harmonic Motion
Chapter 3 Sipe Haronic Motion Practice Probe Soutions Student extboo pae 608. Conceptuaize the Probe - he period of a ass that is osciatin on the end of a sprin is reated to its ass and the force constant
Jackson 4.10 Homework Problem Solution Dr. Christopher S. Baird University of Massachusetts Lowell
Jackson 4.10 Homework Probem Soution Dr. Christopher S. Baird University of Massachusetts Lowe PROBLEM: Two concentric conducting spheres of inner and outer radii a and b, respectivey, carry charges ±.
ESCI 340 Physical Meteorology Radiation Lesson 5 Terrestrial Radiation and Radiation Balance Dr. DeCaria
ECI 30 Physica Meteoroogy Radiation Lesson 5 errestria Radiation and Radiation Baance Dr. DeCaria References: Atmospheric cience: An Introductory urvey, Waace and Hobbs An Introduction to Atmospheric Radiation,
Homework #04 Answers and Hints (MATH4052 Partial Differential Equations)
Homework #4 Answers and Hints (MATH452 Partia Differentia Equations) Probem 1 (Page 89, Q2) Consider a meta rod ( < x < ), insuated aong its sides but not at its ends, which is initiay at temperature =
Math 124B January 31, 2012
Math 124B January 31, 212 Viktor Grigoryan 7 Inhomogeneous boundary vaue probems Having studied the theory of Fourier series, with which we successfuy soved boundary vaue probems for the homogeneous heat
Introduction. Figure 1 W8LC Line Array, box and horn element. Highlighted section modelled.
imuation of the acoustic fied produced by cavities using the Boundary Eement Rayeigh Integra Method () and its appication to a horn oudspeaer. tephen Kirup East Lancashire Institute, Due treet, Bacburn,
FUNDAMENTALS OF FLUID MECHANICS Chapter 7 Dimensional Analysis Modeling, and Similitude
FUNAMENTALS OF FLUI MECHANICS Chapter 7 iensiona Anaysis Modeing, and Siiitude Jyh-Cherng Shieh epartent of Bio-Industria Mechatronics Engineering Nationa Taiwan University 1/4/007 1 MAIN TOPICS iensiona
14 - OSCILLATIONS Page 1
14 - OSCILLATIONS Page 1 14.1 Perioic an Osciator otion Motion of a sste at reguar interva of tie on a efinite path about a efinite point is known as a perioic otion, e.g., unifor circuar otion of a partice.
11 - KINETIC THEORY OF GASES Page 1. The constituent particles of the matter like atoms, molecules or ions are in continuous motion.
- KIETIC THEORY OF GASES Page Introduction The constituent partices of the atter ike atos, oecues or ions are in continuous otion. In soids, the partices are very cose and osciate about their ean positions.
. Compute the following limits.
Today: Tangent Lines and te Derivative at a Point Warmup:. Let f(x) =x. Compute te following limits. f( + ) f() (a) lim f( +) f( ) (b) lim. Let g(x) = x. Compute te following limits. g(3 + ) g(3) (a) lim
MATH 155A FALL 13 PRACTICE MIDTERM 1 SOLUTIONS. needs to be non-zero, thus x 1. Also 1 +
MATH 55A FALL 3 PRACTICE MIDTERM SOLUTIONS Question Find te domain of te following functions (a) f(x) = x3 5 x +x 6 (b) g(x) = x+ + x+ (c) f(x) = 5 x + x 0 (a) We need x + x 6 = (x + 3)(x ) 0 Hence Dom(f)
Design of a Single Input Fuzzy Logic Controller Based SVC for Dynamic Performance Enhancement of Power Systems
Design of a Singe Input Fuzzy Logic Controer Based SC for Dynaic Perforance Enhanceent of Power Systes DR.D. PADMA SUBRAMANIAN PROFESSOR AND DEAN, DEPARTMENT OF ELECTRICAL AND ELECTRONICS ENGINEERING AMET
The prognostic deep convection parametrization for operational forecast in horizontal resolutions of 8, 4 and 2 km
The prognostic deep convection parametrization for operational forecast in horizontal resolutions of 8, 4 and 2 km Martina Tudor, Stjepan Ivatek-Šahdan and Antonio Stanešić tudor@cirus.dhz.hr Croatian
Chapter 7. Dimensional Analysis, Similitude, and Modeling
Chapter 7 Diensiona Anaysis, Siiitude, and Modeing Introduction HISTORICAL CONTEXT John Seaton (174-179) first used scae odes for systeatic experientation. Wiia Froude (1810-1871) first proposed aws for
Optimal Speed Controller Design of the Two-Inertia Stabilization System
Word Acadey of Science, Engineering and Tecnoogy nternationa ourna of Mecanica and Mecatronics Engineering Vo:, o:5, 008 Otia Seed Controer Design of te Two-nertia Stabiiation Syste Byoung-Uk a, Hag-Seong
Math 34A Practice Final Solutions Fall 2007
Mat 34A Practice Final Solutions Fall 007 Problem Find te derivatives of te following functions:. f(x) = 3x + e 3x. f(x) = x + x 3. f(x) = (x + a) 4. Is te function 3t 4t t 3 increasing or decreasing wen
MATH CALCULUS I 2.1: Derivatives and Rates of Change
MATH 12002 - CALCULUS I 2.1: Derivatives and Rates of Cange Professor Donald L. Wite Department of Matematical Sciences Kent State University D.L. Wite (Kent State University) 1 / 1 Introduction Our main
The Priestley-Chao Estimator
Te Priestley-Cao Estimator In tis section we will consider te Pristley-Cao estimator of te unknown regression function. It is assumed tat we ave a sample of observations (Y i, x i ), i = 1,..., n wic are
Stochastic Complement Analysis of Multi-Server Threshold Queues. with Hysteresis. Abstract
Stochastic Compement Anaysis of Muti-Server Threshod Queues with Hysteresis John C.S. Lui The Dept. of Computer Science & Engineering The Chinese University of Hong Kong Leana Goubchik Dept. of Computer
First-Order Corrections to Gutzwiller s Trace Formula for Systems with Discrete Symmetries
c 26 Noninear Phenomena in Compex Systems First-Order Corrections to Gutzwier s Trace Formua for Systems with Discrete Symmetries Hoger Cartarius, Jörg Main, and Günter Wunner Institut für Theoretische
Quantum Mechanical Models of Vibration and Rotation of Molecules Chapter 18
Quantum Mechanica Modes of Vibration and Rotation of Moecues Chapter 18 Moecuar Energy Transationa Vibrationa Rotationa Eectronic Moecuar Motions Vibrations of Moecues: Mode approximates moecues to atoms
c 2007 Society for Industrial and Applied Mathematics
SIAM REVIEW Vo. 49,No. 1,pp. 111 1 c 7 Society for Industria and Appied Mathematics Domino Waves C. J. Efthimiou M. D. Johnson Abstract. Motivated by a proposa of Daykin [Probem 71-19*, SIAM Rev., 13 (1971),