Asymptotic-preserving dynamical low-rank approximations to the Vlasov-Fokker-Planck system
Duration: 48 mins 52 secs
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| Description: |
Jack Coughlin (University of Washington)
16 March 2022 – 11:00 to 12:00 |
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| Created: | 2022-03-16 15:41 |
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| Collection: | Mathematical aspects of turbulence: where do we stand? |
| Publisher: | Isaac Newton Institute |
| Copyright: | Jack Coughlin |
| Language: | eng (English) |
| Abstract: | The Vlasov-Maxwell-Landau system can provide a high fidelity reproduction of plasma physics, but only at great computational cost. Recently, the dynamical low-rank method has been applied to kinetic simulation of plasmas, with promising results. The existence of low-rank structure in asymptotic limits of collisional kinetic equations is further motivation for its application to this class of systems. We introduce the dynamical low-rank method and the robust projector-splitting integrator. We then discuss an asymptotic-preserving discretization for the high-field limit of the Vlasov-Ampere system, a simplification of the Vlasov-Maxwell system.
Authors: Jack Coughlin (University of Washington), Jingwei Hu (University of Washington) |
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