For compressible flow simulations involving both turbulence and shockwaves, the
competing requirements render it challenging to develop high-order numerical methods …

This work focuses on the analysis and development of a high-order physical-constraint-
preserving discontinuous Galerkin (DG) method for compressible two-fluid flows by solving …

View Video Presentation: https://doi. org/10.2514/6.2022-0684. vid A campaign of wall-
modeled large-eddy simulations (WMLES) using structured curvilinear overlapping grids …

Nonlinear Richtmyer-Meshkov instability and the mixing transition induced by a Mach 1.45
shock and subsequent reshock at an interface between two ideal gases (sulfur hexafluoride …

A hybrid finite difference fifth-order multi-resolution weighted compact nonlinear scheme
(WCNS) is presented for simulating the inviscid and viscous compressible flows in this …

In this paper, we develop a physical-constraint-preserving high-order finite volume WENO
scheme for compressible two-medium gas–gas and gas–liquid interfacial flows. Using high …

Weighted compact nonlinear schemes (WCNS) are a family of nonlinear shock capturing
schemes that are suitable for solving problems with discontinuous solutions. The schemes …

Any robust computational scheme for compressible flows must retain the hyperbolicity
property or the real‐valued sound speed. Failure to maintain hyperbolicity, or the positivity of …

View Video Presentation: https://doi. org/10.2514/6.2023-2305. vid The numerical simulation
of droplet impingement at high Mach numbers is a challenging problem, involving a wide …

In this work, we develop a family of hybrid algorithms to simulate compressible multi-phase
flows by solving the quasi-conservative five-equation model. The general numerical …