Parameter-free simple low-dissipation AUSM-family scheme for all speeds

E Shima, K Kitamura - AIAA journal, 2011 - arc.aiaa.org
WHEN we attempt to apply compressible computational fluid dynamics (CFD) methods to
very low Mach number flows, as is known, we shall pay particular attention to slow, or …

Towards shock-stable and accurate hypersonic heating computations: A new pressure flux for AUSM-family schemes

K Kitamura, E Shima - Journal of Computational Physics, 2013 - Elsevier
Hypersonic heating computations are still challenging due to difficulties in “(A) robust
capturing of shockwaves” and “(B) accurate prediction of heating”. Based on our numerical …

Flux splitting schemes for the Euler equations

EF Toro, ME Vázquez-Cendón - Computers & Fluids, 2012 - Elsevier
In this paper we consider two aspects of flux splitting, one at the level of the differential
equations and another concerned with numerical methods to discretize the resulting …

Mechanism of Roe-type schemes for all-speed flows and its application

X Li, C Gu - Computers & Fluids, 2013 - Elsevier
In recent years, Roe-type schemes based on different ideas have been developed for all-
speed flows, such as the preconditioned Roe, the All-Speed Roe, Thornber-Drikakis's …

Reduced dissipation AUSM-family fluxes: HR-SLAU2 and HR-AUSM+-up for high resolution unsteady flow simulations

K Kitamura, A Hashimoto - Computers & Fluids, 2016 - Elsevier
The reduced dissipation approach is applied to AUSM-family flux functions of SLAU2 (as
well as its predecessor, SLAU) and AUSM+-up for high resolution simulations. In this …

High-order and high accurate CFD methods and their applications for complex grid problems

X Deng, M Mao, G Tu, H Zhang… - … in Computational Physics, 2012 - cambridge.org
The purpose of this article is to summarize our recent progress in high-order and high
accurate CFD methods for flow problems with complex grids as well as to discuss the …

Leakage reduction mechanism of supercritical CO2 scallop damper seal: Vortex structure and turbulence dissipation

E Zhang, T Watanabe, T Himeno, B Bai - Physics of Fluids, 2023 - pubs.aip.org
The scallop damper seal (SDS) is a new sealing solution utilized in supercritical CO 2 (S-CO
2) turbomachinery, and its sealing performance is of great interest. Analyzing the energy …

Extension and comparative study of AUSM-family schemes for compressible multiphase flow simulations

K Kitamura, MS Liou, CH Chang - Communications in Computational …, 2014 - cambridge.org
Several recently developed AUSM-family numerical flux functions (SLAU, SLAU2, AUSMM+-
up2, and AUSMPW+) have been successfully extended to compute compressible …

HLLC+: low-Mach shock-stable HLLC-type Riemann solver for all-speed flows

S Chen, B Lin, Y Li, C Yan - SIAM Journal on Scientific Computing, 2020 - SIAM
The approximate Riemann solver of Harten--Lax--van Leer (HLL) and its variant HLLC (HLL
with Contact restoration) solver are widely used as flux functions of finite volume Godunov …

An implicit lattice Boltzmann flux solver for simulation of compressible flows

X Zhao, L Yang, C Shu - Computers & Mathematics with Applications, 2022 - Elsevier
The lattice Boltzmann flux solver (LBFS) is a novel Boltzmann-typed solver under the finite
volume framework, which has many advantages over traditional lattice Boltzmann equation …