4 papers · 1 filter
A low-dissipation central scheme for ideal MHD
Yu-Chen Cheng, Praveen Chandrashekar, Christian Klingenberg
Central schemes for conservation laws are Riemann solver free methods which are simple and easy to implement. In recent work for Euler equations [Kurganov & Xin, J. Sci. Comput., 9…
High-Order and Energy-Stable Implicit-Explicit Relaxation Runge-Kutta Schemes for Gradient Flows
Yuxiu Cheng, Kun Wang, Kai Yang
In this paper, we propose a class of high-order and energy-stable implicit-explicit relaxation Runge-Kutta (IMEX RRK) schemes for solving the phase-field gradient flow models. By i…
A Well-Balanced Method for an Unstaggered Central Scheme, the two-space Dimensional Case
Yu-Chen Cheng, Christian Klingenberg, Rony Touma
We develop a second-order accurate central scheme for the two-dimensional hyperbolic system of in-homogeneous conservation laws. The main idea behind the scheme is that we combine…
A Well-Balanced Method for an Unstaggered Central Scheme, the one-space Dimensional Case
Yu-Chen Cheng, Christian Klingenberg, Rony Touma
In this paper, we propose a new MUSCL scheme by combining the ideas of the Kurganov and Tadmor scheme and the so-called Deviation method which results in a well-balanced finite vol…