3 papers
math-ph2026
The stability priority of spatial-temporal coupled compact element methods over decoupled compact element methods
Qihui Gao, Xing Ji, Zhifang Du +3
With the increasing industrial demands, two families of high-order numerical schemes are widely used within the computational fluid dynamics community. One is the method of line, w…
math.NA2025
Generalized Riemann Problem Method for the Kapila Model of Compressible Multiphase Flows
Tuowei Chen, Zhifang Du
A second-order accurate and robust numerical scheme is developed for the Kapila model to simulate compressible multiphase flows. The scheme is formulated within the finite volume f…
math.NA2025
A Second-Order Relaxation Flux Solver for Compressible Navier-Stokes Equations based on Generalized Riemann Problem Method
Tuowei Chen, Zhifang Du
In the finite volume framework, a Lax-Wendrof type second-order flux solver for the compressible Navier-Stokes equations is proposed by utilizing a hyperbolic relaxation model. The…