Fourth-order accurate finite-volume CWENO scheme for astrophysical MHD problems
نویسندگان
چکیده
منابع مشابه
High-order central ENO finite-volume scheme for ideal MHD
A high-order accurate finite-volume scheme for the compressible ideal magnetohydrodynamics (MHD) equations is proposed. The high-order MHD scheme is based on a central essentially non-oscillatory (CENO) method combined with the generalized Lagrange multiplier divergence cleaning method for MHD. The CENO method uses k-exact multidimensional reconstruction together with a monotonicity procedure t...
متن کاملA Fourth Order Accurate Finite Difference Scheme for the Elastic Wave Equation in Second Order Formulation
We present a fourth order accurate finite difference method for the elastic wave equation in second order formulation, where the fourth order accuracy holds in both space and time. The key ingredient of the method is a boundary modified fourth order accurate discretization of the second derivative with variable coefficient, (μ(x)ux)x. This discretization satisfies a summation by parts identity ...
متن کاملHigh-Order Central ENO Finite-Volume Scheme for MHD on Three-Dimensional Cubed-Sphere Grids
A high-order central essentially non-oscillatory (CENO) finite-volume scheme is developed for the compressible ideal magnetohydrodynamics (MHD) equations solved on threedimensional (3D) cubed-sphere grids. The proposed formulation is an extension to 3D geometries of a recent high-order MHD CENO scheme developed on two-dimensional (2D) grids. The main technical challenge in extending the 2D meth...
متن کاملAdaptive Finite Volume Scheme for Elliptic Problems
A new technique for the implementation of cell-centered nite volume schemes is proposed. It is based on a recently found equivalence between these schemes and the non-conforming Crouzeix-Raviart nite element approximation. Though the implementation somewhat increases the number of unknowns, it brings two signiicant advantages that make it attractive. On the one hand the resulting formulation is...
متن کاملA High Order Godunov Scheme with Constrained Transport and Adaptive Mesh Refinement for Astrophysical MHD
Aims. In this paper, we present a new method to perform numerical simulations of astrophysical MHD flows using the Adaptive Mesh Refinement framework and Constrained Transport. Methods. The algorithm is based on a previous work in which the MUSCL–Hancock scheme was used to evolve the induction equation. In this paper, we detail the extension of this scheme to the full MHD equations and discuss ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Monthly Notices of the Royal Astronomical Society
سال: 2018
ISSN: 0035-8711,1365-2966
DOI: 10.1093/mnras/sty2641