36 citations · 101 across the 18 of their papers we have counts for
18 papers
A Third-order Conservative Semi-Lagrangian Discontinuous Galerkin Scheme For the Transport Equation on Curvilinear Unstructured Meshes
Xiaofeng Cai, Yibing Chen, Kunkai Fu +1
We develop a third-order conservative semi-Lagrangian discontinuous Galerkin (SLDG) scheme for solving linear transport equations on curvilinear unstructured triangular meshes, tai…
Asymptotic-preserving conservative semi-Lagrangian discontinuous Galerkin schemes for the Vlasov-Poisson system in the quasi-neutral limit
Xiaofeng Cai, Linghui Kong, Dmitri Kuzmin +1
We discretize the Vlasov-Poisson system using conservative semi-Lagrangian (CSL) discontinuous Galerkin (DG) schemes that are asymptotic preserving (AP) in the quasi-neutral limit.…
Asymptotic-preserving semi-Lagrangian discontinuous Galerkin schemes for the Boltzmann equation
Xiaofeng Cai, Zhen Hao, Liu Liu +1
In this work, we present an asymptotic-preserving semi-Lagrangian discontinuous Galerkin scheme for the Boltzmann equation that effectively handles multi-scale transport phenomena.…
A high-order energy-conserving semi-Lagrangian discontinuous Galerkin method for the Vlasov-Ampere system
Xiaofeng Cai, Qingtao Li, Hongtao Liu +1
In this paper, we propose a high-order energy-conserving semi-Lagrangian discontinuous Galerkin(ECSLDG) method for the Vlasov-Ampere system. The method employs a semi-Lagrangian di…
The positivity-preserving high-order semi-Lagrangian spectral volume method for Vlasov-Poisson equations
Xinyue Zhang, Xiaofeng Cai, Waixiang Cao
In this paper, a novel high order semi-Lagrangian (SL) spectral volume (SV) method is proposed and studied for nonlinear Vlasov-Poisson (VP) simulations via operator splitting. The…
Runge-Kutta Discontinuous Galerkin Method Based on Flux Vector Splitting with Constrained Optimization-based TVB(D)-minmod Limiter for Solving Hyperbolic Conservation Laws
Zhengrong Xie
The flux vector splitting (FVS) method has firstly been incorporated into the discontinuous Galerkin (DG) framework for reconstructing the numerical fluxes required for the spatial…
Non-splitting Eulerian-Lagrangian WENO schemes for two-dimensional nonlinear convection-diffusion equations
Nanyi Zheng, Xiaofeng Cai, Jing-Mei Qiu +1
In this paper, we develop high-order, conservative, non-splitting Eulerian-Lagrangian (EL) Runge-Kutta (RK) finite volume (FV) weighted essentially non-oscillatory (WENO) schemes f…
Fourth-order conservative non-splitting semi-Lagrangian Hermite WENO schemes for kinetic and fluid simulations
Nanyi Zheng, Xiaofeng Cai, Jing-Mei Qiu +1
We present fourth-order conservative non-splitting semi-Lagrangian (SL) Hermite essentially non-oscillatory (HWENO) schemes for linear transport equations with applications for non…
An Eulerian-Lagrangian discontinuous Galerkin method for transport problems and its application to nonlinear dynamics
Xiaofeng Cai, Jing-Mei Qiu, Yang Yang
We propose a new Eulerian-Lagrangian (EL) discontinuous Galerkin (DG) method. The method is designed as a generalization of the semi-Lagrangian (SL) DG method for linear advection…
High Order Semi-Lagrangian Discontinuous Galerkin Method Coupled with Runge-Kutta Exponential Integrators for Nonlinear Vlasov Dynamics
Xiaofeng Cai, Sebastiano Boscarino, Jing-Mei Qiu
In this paper, we propose a semi-Lagrangian discontinuous Galerkin method coupled with Runge-Kutta exponential integrators (SLDG-RKEI) for nonlinear Vlasov dynamics. The commutator…
Semi-Lagrangian implicit Bhatnagar-Gross-Krook collision model for the finite-volume discrete Boltzmann method
Leitao Chen, Sauro Succi, Xiaofeng Cai +1
A new implicit BGK collision model using a semi-Lagrangian approach is proposed in this paper. Unlike existing models, in which the implicit BGK collision is resolved either by a t…
A semi-Lagrangian discontinuous Galerkin (DG) -- local DG method for solving convection-diffusion equations
Mingchang Ding, Xiaofeng Cai, Wei Guo +1
In this paper, we propose an efficient high order semi-Lagrangian (SL) discontinuous Galerkin (DG) method for solving linear convection-diffusion equations. The method generalizes…
Comparison of semi-Lagrangian discontinuous Galerkin schemes for linear and nonlinear transport simulations
Xiaofeng Cai, Wei Guo, Jing-Mei Qiu
Transport problems arise across diverse fields of science and engineering. Semi-Lagrangian (SL) discontinuous Galerkin (DG) methods are a class of high order deterministic transpor…
A high order semi-Lagrangian discontinuous Galerkin method for the two-dimensional incompressible Euler equations and the guiding center Vlasov model without operator splitting
Xiaofeng Cai, Wei Guo, Jingmei Qiu
In this paper, we generalize a high order semi-Lagrangian (SL) discontinuous Galerkin (DG) method for multi-dimensional linear transport equations without operator splitting develo…
A high order semi-Lagrangian discontinuous Galerkin method for Vlasov-Poisson simulations without operator splitting
Xiaofeng Cai, Wei Guo, Jingmei Qiu
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 particul…
A high order conservative semi-Lagrangian discontinuous Galerkin method for two-dimensional transport simulations
Xiaofeng Cai, Wei Guo, Jing-Mei Qiu
In this paper, we develop a class of high order conservative semi-Lagrangian (SL) discontinuous Galerkin (DG) methods for solving multi-dimensional linear transport equations. The…
Finite volume HWENO schemes for nonconvex conservation laws
Xiaofeng Cai, Jianxian Qiu, Jing-Mei Qiu
We illustrate that numerical solutions of high order finite volume Hermite weighted essentially non-oscillatory (HWENO) scheme for some nonconvex conservation laws perform poorly o…
A conservative semi-Lagrangian HWENO method for the Vlasov equation
Xiaofeng Cai, Jianxian Qiu, Jing-Mei Qiu
In this paper, we present a high order conservative semi-Lagrangian (SL) Hermite weighted essentially non-oscillatory (HWENO) method for the Vlasov equation based on dimensional sp…