Objective The objective of this study was to conduct a systematic review to summarize and
assess the advancements lately made on the enjoyable impacts of game-based physical …

With increasing engineering demands, there need high order accurate schemes embedded
with precise physical information in order to capture delicate small scale structures and …

… Jiequan Li 1997b On the global measure solution to zero-pressure gas dynamics, preprint,
Institute of Applied Mathematics, Academic Sinica. Jiequan Li 1997c … Jiequan Li 1998 On the …

We construct classical self-similar solutions to the interaction of two arbitrary planar rarefaction
waves for the polytropic Euler equations in two space dimensions. The binary interaction …

In this paper we develop a novel two-stage fourth order time-accurate discretization for time-dependent
flow problems, particularly for hyperbolic conservation laws. Different from the …

We present a characteristic decomposition of the potential flow equation in the self-similar
plane. The decomposition allows for a proof that any wave adjacent to a constant state is a …

The global existence and structures of solutions to multi-dimensional unsteady compressible
Euler equations are interesting and important open problems. In this paper, we construct …

For computational fluid dynamics (CFD), the generalized Riemann problem (GRP) solver
and the second-order gas-kinetic scheme (GKS) provide a time-accurate flux function starting …

This note presents the behavior of solution of the compressible Euler equations as the
temperature drops to zero by the simple Riemann problem.@ 2001 Elsevier Science Ltd. All …

A direct Eulerian generalized Riemann problem (GRP) scheme is derived for compressible
fluid flows. Riemann invariants are introduced as the main ingredient to resolve the …