This paper investigates the performances of approximate Riemann solvers (ARSs) for hyperbolic traffic models from family generic second-order flow modeling. Three are selected, including HLL, HLLC, and Rusanov solvers, evaluated comprehensively against model by Zhang (2002) a variant phase-transition Colombo with continuous solution domain. The ARSs investigated using extensive numerical tests,...

flood flow importance enforces we to simulate its components exactly. in this study, saint-venant equations in conservative form are usedto simulate one-dimensional rapidly varied flow in the river. upstream methods of godunov family in finite volume frame work are used to numerical solution. according to flow conditions in the river, the equations used are included in the source term of the be...

When one solves PDEs modelling physical phenomena, it is of great importance to take physical constraints into account. More precisely, numerical schemes have to be designed such that discrete solutions satisfy the same constraints as exact solutions. For instance, the underlying physical assumptions for the Euler equations are the positivity of both density and pressure variables. We consider ...

Solute transport simulations are important in water pollution events. This paper introduces a finite volume Godunov-type model for solving 4×4 matrix form of the hyperbolic conservation laws consisting 2D shallow equations and equations. The adopts Harten-Lax-van Leer-contact (HLLC)-approximate Riemann solution to calculate cell interface fluxes. It can deal well with changes dry wet interfaces...

Numerical schemes for the solution of Euler equations have recently been developed, which involve discretisation internal energy equation, with corrective terms to ensure correct capture shocks, and, more generally, consistency in Lax-Wendroff sense. These may be staggered or colocated, using either structured meshes general simplicial tetrahedral/hexahedral meshes. The time discretization is p...

An unsteady two-dimensional finite-volume solver was developed based on Van Leer’s flux splitting algorithm in conjunction with “Monotonic Upstream Scheme for Conservation Laws (MUSCL)” limiters and the two-layer Baldwin-Lomax turbulence model was also implemented. To validate the solver, two test cases were prepared and the computed results had good agreements with reference data. The rotating...