Optimal Monotonicity-Preserving Perturbations of a Given Runge–Kutta Method
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DOI: 10.1007/s10915-018-0664-3
Abstract: Perturbed Runge–Kutta methods (also referred to as downwind Runge–Kutta methods) can guarantee monotonicity preservation under larger step sizes relative to their traditional Runge–Kutta counterparts. In this paper we study the question of how to optimally… read more here.
Keywords: monotonicity; perturbations given; preserving perturbations; runge kutta ... See more keywords
Modified Monotonicity Preserving Constraints for High-Resolution Optimized Compact Scheme
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DOI: 10.1007/s10915-020-01221-0
Abstract: The monotonicity-preserving (MP) scheme is an accurate shock-capturing scheme. However, its performance is still inefficient for resolving high-frequency waves. In this paper, to improve the resolution characteristics, an upwind compact interpolation is proposed as a… read more here.
Keywords: resolution; modified monotonicity; scheme; proposed scheme ... See more keywords
Hybrid Flux Method in Monotonicity-Preserving Scheme for Accurate and Robust Simulation in Supersonic Flow
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DOI: 10.1155/2019/4590956
Abstract: The fifth-order monotonicity-preserving (MP5) scheme is an accurate and low dissipative numerical method. As a finite-volume method, MP5 adopts the Roe-flux scheme for solving the numerical flux in the compressible Euler equation. However, due to… read more here.
Keywords: flux; method; scheme accurate; monotonicity preserving ... See more keywords