Zobrazeno 1 - 10
of 327
pro vyhledávání: '"Qiu, Jianxian"'
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 for convection-diffusion equations. The proposed EL-RK-FV-WENO scheme d
Externí odkaz:
http://arxiv.org/abs/2406.01479
A long-standing and formidable challenge faced by all conservative schemes for relativistic magnetohydrodynamics (RMHD) is the recovery of primitive variables from conservative ones. This process involves solving highly nonlinear equations subject to
Externí odkaz:
http://arxiv.org/abs/2404.05531
In this paper, a fifth-order moment-based Hermite weighted essentially non-oscillatory scheme with unified stencils (termed as HWENO-U) is proposed for hyperbolic conservation laws. The main idea of the HWENO-U scheme is to modify the first-order mom
Externí odkaz:
http://arxiv.org/abs/2402.03074
The relativistic hydrodynamics (RHD) equations have three crucial intrinsic physical constraints on the primitive variables: positivity of pressure and density, and subluminal fluid velocity. However, numerical simulations can violate these constrain
Externí odkaz:
http://arxiv.org/abs/2305.14805
In this paper, a compact and high order ADER (Arbitrary high order using DERivatives) scheme using the simple HWENO method (ADER-SHWENO) is proposed for hyperbolic conservation laws. The newly-developed method employs the Lax-Wendroff procedure to co
Externí odkaz:
http://arxiv.org/abs/2304.09724
We present fourth-order conservative non-splitting semi-Lagrangian (SL) Hermite essentially non-oscillatory (HWENO) schemes for linear transport equations with applications for nonlinear problems including the Vlasov-Poisson system, the guiding cente
Externí odkaz:
http://arxiv.org/abs/2208.03890
Publikováno v:
Journal of Computational Physics, 487 (2023) 112147
A well-balanced moving mesh discontinuous Galerkin (DG) method is proposed for the numerical solution of the Ripa model -- a generalization of the shallow water equations that accounts for effects of water temperature variations. Thermodynamic proces
Externí odkaz:
http://arxiv.org/abs/2205.14560
In this paper, a high-order moment-based multi-resolution Hermite weighted essentially non-oscillatory (HWENO) scheme is designed for hyperbolic conservation laws. The main idea of this scheme is derived from our previous work [J. Comput. Phys., 446
Externí odkaz:
http://arxiv.org/abs/2201.12193
Publikováno v:
Numer. Math. Theor. Meth. Appl., 16 (2023), pp. 111-139
The selection of time step plays a crucial role in improving stability and efficiency in the Discontinuous Galerkin (DG) solution of hyperbolic conservation laws on adaptive moving meshes that typically employs explicit stepping. A commonly used sele
Externí odkaz:
http://arxiv.org/abs/2106.08504