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 generalized Riemann problem… (More)

We study the transition from the Zeldovich–von Neumann–Doring (ZND) theory to the Chapman–Jouguet (CJ) theory as the reaction rate tends to infinity for a nonconvex scalar combustion model. The… (More)

Abstract. The Generalized Riemann Problem (GRP) for nonlinear hyperbolic system of m balance laws (or alternatively “quasi-conservative” laws) in one space dimension is formulated as follows: Given… (More)

We consider two lumped age-structured models of juvenile against adult competition, one of which is a compartmental ordinary differential equation (ODE) model and one of which is a system of ODEs… (More)

The generalized Riemann problem (GRP) method was proposed for compressible fluid flows based on the Lagrangian formulation [M. Ben-Artzi, J. Falcovitz, A second-order Godunov-type scheme for… (More)

The generalized Riemann problem (GRP) scheme for the Euler equations and gaskinetic scheme (GKS) for the Boltzmann equation are two high resolution shock capturing schemes for fluid simulations. The… (More)

The adaptive generalized Riemann problem (GRP) scheme for 2–D compressible fluid flows has been proposed in [25, Han, Li and Tang, An adaptive GRP scheme for compressible fluid flows, J. Comput.… (More)

We investigate the problem of two-dimensional, unsteady expansion of an inviscid, polytropic gas, which can be interpreted as the collapse of a wedge-shaped dam containing water initially with a… (More)