ORBIT Code Review and Future Directions. S. Cousineau, A. Shishlo, J. Holmes ECloud07

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1 ORBIT Code Review and Future Directions S. Cousineau, A. Shishlo, J. Holmes ECloud07

2 ORBIT Code ORBIT (Objective Ring Beam Injection and Transport code) ORBIT is an object-oriented, open-source code started at SNS for simulating high intensity rings. ORBIT is a particle tracking code Macro-particles in 6D phase space It uses s, not t, as its independent variable. Uses PIC for collective effects simulations Accelerator lattice is a set of Nodes Its purpose is the design and analysis of high intensity rings. We also use it on beam lines when appropriate. ORBIT incorporates a sizeable collection of physics, engineering, and diagnostic models. The emphasis in developing ORBIT has always been the incorporation of models that allow application to realistic accelerator problems.

3 History of ORBIT Development Year first files created by John Galambos Year cvs repository was created. Other developers started joining the team. Years active development of collective interaction, collimation, and one-particle dynamic modules, parallel computing based on MPI. The base structure of ORBIT is unchanged. Due to this structure developers are able to work practically independently. The parallel capabilities were present from the beginning, but the code was moved from PVM (outdated now) to MPI (latest widely accepted technology).

4 ORBIT Programming Structure ORBIT SuperCode (SC) Script interpreter + Wrapper files generator Language: C++ Includes: Collection of utility C++ classes SC Extensions Interfaces to C++ classes (Wrappers Generated by SC) ORBIT C++ Classes (physics) External Libraries (FFT, MPI, PTC etc.) ORBIT is a script interpreter of the extended SuperCode program language. The ORBIT program is a script to be interpreted. Programming language for free No need to compile Flexible, scripts are easy to create Can be extended further

5 Typical simulation with ORBIT Injection Point In ORBIT, macroparticles are transported through a series of Nodes which execute physical operations on the beam. The user decides which particular physical operations are important for their simulations, and adds the appropriate nodes. Transport Map Node Electron Cloud Node RF Cavity Typical Simulation at SNS may include: drifts, dipoles, and quadrupoles (transport map) rf-buncher node injection node longitudinal space charge node transverse space charge nodes (one per lattice element) one or few Electron Cloud Nodes (ECNs) aperture nodes etc.

6 ORBIT: Inventory of Models ORBIT is designed to simulate real machines: it has detailed models for Injection foil and painting (Galambos, Holmes, Cousineau, Coupland). Single particle transport through various types of lattice elements (Holmes, Galambos, Abrams, Michelotti, Forest, Shishlo). Magnet Errors, Closed Orbit Calculation, Orbit Correction (Holmes, Bunch). RF and acceleration (Galambos, Holmes). Longitudinal impedance and 1D longitudinal space charge (Galambos, Beebe-Wang, Luccio). Transverse impedance (Danilov, Shishlo). 2.5D transverse space charge with or without conducting wall beam pipe (Holmes, Galambos) 3D space charge (Danilov, Holmes) Feedback for Stabilization (Danilov) Apertures and collimation (Cousineau, Catalan-Lasheras) Electron Cloud Model (Shishlo, Sato, Danilov, Holmes) Tracking in 3D Magnetic Fields (Holmes, Perkett)

7 Longitudinal Space Charge and Impedances (1) ORBIT longitudinal impedances and/or space charge module inherits from ESME code (J. A. MacLachlan, FNAL) Impedances are represented as longitudinal kicks at localized nodes Longitudinal space charge forces are combined with impedances by using FFT methods and convolution with the beam current harmonics Longitudinal Space Charge and Impedance Module has been successfully benchmarked against analytic Vlasov model calculations of instability thresholds results of ESME code experimental data from the Los Alamos Proton Storage Ring (PSR) showing longitudinal microwave instability experimental data from the Los Alamos Proton Storage Ring (PSR) showing long-lived linac micro-bunch structure during beam storage with no rf bunching (S. Cousineau,V. Danilov, and J. Holmes, R. Macek, Phys. Rev. ST Accel. Beams 7, (2004). )

8 Longitudinal Space Charge and Impedances (2) S. Cousineau,V. Danilov, and J. Holmes, R. Macek, Space-charge-sustained micro-bunch structure in the Los Alamos Proton Storage Ring Phys. Rev. ST Accel. Beams 7, (2004). Experimental Data Waterfall plot of the wall current monitor signal for the chopped beam experiment. The beam gap region is displayed in blue. Beam injection ends at 559 turns. The high frequency variations in color indicate the micro-bunch structure of the beam ORBIT Simulation Left: with Longitudinal SC Right: without

9 2.5D Space Charge Module Algorithm r r r r Δ r F (r ) ρ( ) d 2 Δr r λ r i F,i F λ j r r r r L Δp = F ( )dt < F > L β c The 2.5D space charge model: It is implemented as a series of transverse momentum kicks between the lattice elements. Particles are binned in a 2D rectangular grid. The potential is solved using a fast FFT solver. The transverse momentum kicks are weighted by the local longitudinal density. Conducting wall (circular, elliptical, or rectangular beam pipe) boundary conditions can be used. There is also an alternative direct force solver without beam pipe. We call this model 2.5D.

10 2.5D Space Charge Module Benchmark This module has been successfully used to explain the beam transverse distribution in the PSR ring: Transverse beam profiles are observed to broaden with increasing intensity in the PSR. Inclusion of space charge effects improves the agreement between the experimentally observed profiles and the calculated profiles. The comparisons are made for a range of injected intensities. The effect of the space charge on the calculated beam profiles, for the case with no closed orbit bumps during injection and at the highest intensity.

11 3D Space Charge Module Algorithm 2D SC problem with the boundary condition The boundary at the fixed potential The 3D space charge model is a simple generalization of the 2.5D routine. Particles are distributed to a 3D rectangular grid using a second order scheme. Grid slices feel the nearest neighbors only. Simulations with this module require a multiple CPU computer or parallel cluster, because the numbers of particles and grid points are proportional to the number of transverse slices in the 3D grid. For SNS, the difference in results between 2.5D and 3D are small. Most of the time we use 2.5D.

12 ORBIT: Electron Cloud Module ORBIT Code Super Code Interface Modules Original ORBIT ECloud.cc Original ORBIT C++ Classes EP_Node.cc EP_NodeCalculator.cc E-Cloud Module: Independent C++ Classes - ORBIT Electron Cloud Module Electron Cloud Module has a weak link to ORBIT. It can be used outside ORBIT. Electron Cloud Module: Electron cloud dynamics in electromagnetic fields Coupled dynamics of the electrons and protons Realistic surface model (M.T.F Pivi and M.A. Furman s model, PRST-AB (2003) ) Accelerator lattice can have arbitrary number of Electron Cloud Nodes

13 Electron Cloud Node (ECN) Algorithm L R >> L ECN L ECN Proton Bunch Electron Cloud Region Pipe The PIC method for electrons and protons electromagnetic fields Protons dynamics inside the bunch: Each proton gets a momentum kick r Δp = L L eff ECN r q E cloud Δt The effective length is our parameter. Electrons dynamics inside ECN: time is a independent variable electromagnetic forces from: proton bunch electrons conducting walls external magnetic fields Furman-Pivi surface model Electrons and protons dynamics are tied together

14 Benchmark with PSR: Frequency Spectrum Stage 1 (preparation) 3200 turns of injection All ECNs are switched off 10,000,000 macro-protons at the end Stage 2 (main) No injection Several tens of turns 5 ECNs are switched on turn = 20 Simulations Robert Macek Talk, LANL, 3/15-18/04 PSR Data Frequency spectra agree

15 Benchmark with PSR: EC-Protons Coupling Instability development for one ECN in the PSR lattice. The left half is the simulation results, and the right half is the real PSR data. The coupling between proton instabilities and electron production. An intense electron flux coincides with high amplitude coherent proton bunch oscillations at the onset of substantial beam losses.

16 SuperCode as Program Language It resembles C, with some FORTRAN features Input and output with files and streams. It has include operator to add external pieces of code. You can create custom functions. Extremely easy to extend. It has its own wrapper generator. Slow ( as all interpreters) No dynamic loading of language extensions. Not Object Oriented, no classes. It has no support now. It was created in the first half of 1990s ( C++ standard was published in July, 1998) We have to replace it with something else We do not want just to move ORBIT under a new driver shell, we want to restructure the ORBIT code to use the full advantage of the Python language, including the speed of prototyping and development. And, of course, we want to get rid of the SuperCode legacy completely.

17 pyorbit Interpreter pyorbit pyorbit is an extended Python programming language interpreter. C and C++ code Main program libpython.a MPI library Base ORBIT C++ and wrappers Pure Python Modules External Python Modules and C++ shared libraries The following advantages are gained Users have a very powerful and modern programming language for free. User can use external Python modules (for instance graphics). Freedom. Everybody can develop and add his own new modules. If you do not like it, then do not use them.

18 Other Improvements and new features with pyorbit New Bunch Class It allows to keep not only 6D coordinates, but additional set of macro-particles characteristics such as spin, macro-size, etc. If user wants to add additional information it could be done easily. User can operate macro particles from the Python interpreter level. No compilation is necessary. It is ready for parallel calculation. A tree-like lattice structure User can modify the lattice structure on fly. It is small. It is not mandatory. If you do not like it you can create your own lattice structure. It is very easy to do in Python MAD file parser Pure Python. As a result it is very small (about 800 lines including documentation) and simple. User can modify it at will. It can handle MAD math expressions, arbitrary number of included child MAD files. It skips MAD tracking command. It is example for the future parsers like MADX including data formats based on XML

19 Preliminary version ready We started a new attempt of migration to the Python shell language in ORBIT development The loose structure provides freedom for developers The initial structure is ready. Now pyorbit includes bunch, TEAPOT, and MAD Parser. A lot of work ahead: We need a dedicated group effort to get this done!!

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