This paper describes methods used in creation of a high-resolution mathematical model for describing flow in complex geometry areas. In the future it should be used mainly for airflow calculations in urban areas. In the second part we present some preliminary results of test experiments. At this stage, our model describes the 2D laminar incompressible flow but extension to full 3D approach is s...

We present an Embedded Boundary Cartesian Grid method to set Dirichlet, Neumann and extrapolation boundary conditions for the compressible Navier-Stokes equations in twoand three dimensions. Of great interest is the coupling LES/wall-model/embedded boundary for simulating compressible flow applications. The main challenge with the embedded boundary method is to accurately satisfy the boundary c...

Second-order accurate upwind and centered schemes are presented in a framework that facilitates their analysis and comparison. The upwind scheme employed consists of a reconstruction step (Van Leer 1977) followed by an upwind step (Roe 1981). The two centered schemes are of Lax-Friedrichs (L-F) type. They are the nonstaggered versions of the N-T scheme (called ORD in Nessyahu-Tadmor 1990) and t...

In this paper a comparative analysis of 2D numerical models for overland flow simulations have been performed; in particular they are based on the shallow water approach according to fully dynamic, diffusive and kinematic wave modeling. The systems have been numerically solved by using the MacCormack second order central scheme. The models have been tested, validated and compared using numerica...

A CFD solver is developed to solve a 3D, unsteady, compressible Navier-Stokes equations with the Baldwin-Lomax turbulence model to study the unsteady separation flow in a high incidence cascade. The second order accuracy is obtained with the dual time stepping technique. The code is first validated for its unsteady simulation capability by calculating a 2D transonic inlet diffuser flow. Then a ...

In this paper we introducé the Local Projection P° P-Discontinuous Galerkin finite elemente method (ÂI1P ° P -scheme) for solving numencally scalar conservation laws This is an exphcit method obtained by modifying the expltcit Discontinuous Galerkin method introduced by G Chavent and G Salzano [3], via a simple local projection based on the monotomcity-preserving projections introduced by van L...

We present a new monotone finite volume method for the advection–diffusion equation with a full anisotropic discontinuous diffusion tensor and a discontinuous advection field on 3D conformal polyhedral meshes. The proposed method is based on a nonlinear flux approximation both for diffusive and advective fluxes and guarantees solution non-negativity. The approximation of the diffusive flux uses...