A New WENO Magnetohydrodynamic Code with a High-Order Constrained Transport Scheme

Abstract

We have developed a new magnetohydrodynamic (MHD) code for astrophysical applications, which is based on a fifth‐order finite‐difference weighted essentially non‐oscillatory (WENO) scheme and a fourth‐order strong stability‐preserving Runge‐Kutta (SSPRK) time‐integration scheme. In particular, to match the highorder accuracy of the WENO scheme, we have implemented a new constrained transport (CT) algorithm of high‐order accuracy. In this talk, we describe the MHD code and present its performance. We demonstrate that with the new CT scheme, the code achieves fifth‐order accuracy in wave decay tests, including a circularly polarized Alfven wave propagation test. We further demonstrate the high accuracy and robustness of the code through tests involving complex flows.