Kinetic Simulation of Collisional Magnetized Plasmas with Semi-implicit Time Integration

Ghosh, Debojyoti; Dorf, Mikhail A.; Dorr, Milo R.; Hittinger, Jeffrey A.  F.

doi:10.1007/s10915-018-0726-6

Kinetic Simulation of Collisional Magnetized Plasmas with Semi-implicit Time Integration

Journal Article · Sat May 12 00:00:00 EDT 2018 · Journal of Scientific Computing

DOI:https://doi.org/10.1007/s10915-018-0726-6· OSTI ID:1458696

^[1]; Dorf, Mikhail A. ^[2]; Dorr, Milo R. ^[1]; Hittinger, Jeffrey A. F. ^[1]

Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States). Center for Applied Scientific Computing
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States). Physics Division

Plasmas with varying collisionalities occur in many applications, such as tokamak edge regions, where the flows are characterized by significant variations in density and temperature. While a kinetic model is necessary for weakly-collisional high-temperature plasmas, high collisionality in colder regions render the equations numerically stiff due to disparate time scales. In this study, we propose an implicit–explicit algorithm for such cases, where the collisional term is integrated implicitly in time, while the advective term is integrated explicitly in time, thus allowing time step sizes that are comparable to the advective time scales. This partitioning results in a more efficient algorithm than those using explicit time integrators, where the time step sizes are constrained by the stiff collisional time scales. Finally, we implement semi-implicit additive Runge–Kutta methods in COGENT, a high-order finite-volume gyrokinetic code and test the accuracy, convergence, and computational cost of these semi-implicit methods for test cases with highly-collisional plasmas.

View Accepted Manuscript (DOE)

Research Organization:: Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR) (SC-21)

Grant/Contract Number:: AC52-07NA27344

OSTI ID:: 1458696

Report Number(s):: LLNL-JRNL--735522; 887762

Journal Information:: Journal of Scientific Computing, Journal Name: Journal of Scientific Computing Vol. 77; ISSN 0885-7474

Publisher:: SpringerCopyright Statement

Country of Publication:: United States

Language:: English

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Kinetic Simulation of Collisional Magnetized Plasmas with Semi-implicit Time Integration

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