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A local macroscopic conservative (lomac) low rank tensor method with the discontinuous galerkin method for the vlasov dynamics
In this paper, we propose a novel Local Macroscopic Conservative (LoMaC) low rank tensor
method with discontinuous Galerkin (DG) discretization for the physical and phase spaces …
method with discontinuous Galerkin (DG) discretization for the physical and phase spaces …
A performance comparison of semi-Lagrangian discontinuous Galerkin and spline based Vlasov solvers in four dimensions
The purpose of the present paper is to compare two semi-Lagrangian methods in the context
of the four-dimensional Vlasov–Poisson equation. More specifically, our goal is to compare …
of the four-dimensional Vlasov–Poisson equation. More specifically, our goal is to compare …
High order maximum principle preserving semi-Lagrangian finite difference WENO schemes for the Vlasov equation
In this paper, we propose the parametrized maximum principle preserving (MPP) flux limiter,
originally developed in [37], to the semi-Lagrangian finite difference weighted essentially …
originally developed in [37], to the semi-Lagrangian finite difference weighted essentially …
High order semi-Lagrangian discontinuous Galerkin method coupled with Runge-Kutta exponential integrators for nonlinear Vlasov dynamics
In this paper, we propose a semi-Lagrangian discontinuous Galerkin method coupled with
Runge-Kutta exponential integrators (SLDG-RKEI) for nonlinear Vlasov dynamics. The …
Runge-Kutta exponential integrators (SLDG-RKEI) for nonlinear Vlasov dynamics. The …
Conservative multi-dimensional semi-Lagrangian finite difference scheme: stability and applications to the kinetic and fluid simulations
In this paper, we propose a mass conservative semi-Lagrangian finite difference scheme for
multi-dimensional problems without dimensional splitting. The semi-Lagrangian scheme …
multi-dimensional problems without dimensional splitting. The semi-Lagrangian scheme …
A high order conservative semi-Lagrangian discontinuous Galerkin method for two-dimensional transport simulations
In this paper, we develop a class of high order conservative semi-Lagrangian (SL)
discontinuous Galerkin methods for solving multi-dimensional linear transport equations …
discontinuous Galerkin methods for solving multi-dimensional linear transport equations …
Bound-preserving high-order schemes
For the initial value problem of scalar conservation laws, a bound-preserving property is
desired for numerical schemes in many applications. Traditional methods to enforce a …
desired for numerical schemes in many applications. Traditional methods to enforce a …
Stochastic Lagrangian perturbation of Lie transport and applications to fluids
N Besse - Nonlinear Analysis, 2023 - Elsevier
In this paper, we propose a novel stochastic Lagrangian formulation of dissipatively
perturbed Lie transport, which is based on the statistical generalized Cauchy invariants …
perturbed Lie transport, which is based on the statistical generalized Cauchy invariants …
A semi-Lagrangian discontinuous Galerkin (DG)–local DG method for solving convection-diffusion equations
In this paper, we propose an efficient high order semi-Lagrangian (SL) discontinuous
Galerkin (DG) method for solving linear convection-diffusion equations. The method …
Galerkin (DG) method for solving linear convection-diffusion equations. The method …
A high order semi-Lagrangian discontinuous Galerkin method for Vlasov–Poisson simulations without operator splitting
In this paper, we develop a high order semi-Lagrangian (SL) discontinuous Galerkin (DG)
method for nonlinear Vlasov–Poisson (VP) simulations without operator splitting. In …
method for nonlinear Vlasov–Poisson (VP) simulations without operator splitting. In …