A conservative DG scheme for particle kinetics on smooth manifolds that exactly conserves density and energy via canonical Hamiltonian formulation, coupled to BGK collisions with an iterative invariant-preserving update, demonstrated on Sod-shock and Kelvin-Helmholtz tests with and without rotation.
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Entity PIC code updated with up to 11th-order current deposit and generalized field stencils, with tests showing improved conservation properties and suppression of numerical effects.
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A Conservative Discontinuous Galerkin Algorithm for Particle Kinetics on Smooth Manifolds
A conservative DG scheme for particle kinetics on smooth manifolds that exactly conserves density and energy via canonical Hamiltonian formulation, coupled to BGK collisions with an iterative invariant-preserving update, demonstrated on Sod-shock and Kelvin-Helmholtz tests with and without rotation.
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Entity -- Hardware-agnostic Particle-in-Cell Code for Plasma Astrophysics. III: Higher-order shape functions & generalized field stencils
Entity PIC code updated with up to 11th-order current deposit and generalized field stencils, with tests showing improved conservation properties and suppression of numerical effects.