A high order semi-implicit IMEX WENO scheme for the all-Mach isentropic Euler system

• Published in: Journal of computational physics Vol. 392; pp. 594 - 618
• Main Authors: Boscarino, Sebastiano, Qiu, Jing-Mei, Russo, Giovanni, Xiong, Tao
• Format: Journal Article
• Language: English
• Published: Cambridge Elsevier Inc 01.09.2019; Elsevier Science Ltd
• Subjects: Acoustic waves; Asymptotic methods; Asymptotic preserving; Asymptotic properties; Computational physics; Euler-Lagrange equation; Finite difference method; Gas dynamics; IMEX; Incompressible solver; Low-Mach; Mach number; Semi-implicit; WENO reconstruction; Semi-implicit; IMEX; WENO reconstruction; Low-Mach; Incompressible solver; Asymptotic preserving

•A high order all-Mach number solver for isentropic Euler equations is presented.•It is based on finite difference in space and IMEX in time.•Material waves are treated explicitly, while acoustic waves are treated implicitly.•The schemes are shown to be asymptotic preserving with incompressible limi...