An Artificial Compressibility Method for the Spectral Difference Solution of Unsteady Incompressible Navier-Stokes Equations on Multiple Grids
نویسندگان
چکیده
This paper presents the development of a 2D high-order solver with unstructured spectral difference method for unsteady incompressible Navier-Stokes equations. Timemarching methods cannot be applied directly to incompressible flows because the governing equations are not hyperbolic. An artificial compressibility method (ACM) is employed in order to treat the inviscid fluxes using the traditional characteristics-based schemes. The viscous fluxes are computed using the averaging approach. A dual time stepping scheme is implemented to deal with physical time marching. A p-multigrid method is implemented in conjunction with the dual time stepping method for convergence acceleration. The SD method added with the ACM (SD-ACM) is able to accurately simulate 2D incompressible steady and unsteady viscous flows.
منابع مشابه
Numerical Solution of an Unsteady Flow Using Artificial Compressibility Method
The work presents an artificial compressibility method applied to incompressible Navier-Stokes equations for steady as well as for unsteady flows. Two modifications of unsteady numerical solution by an implicit finite volume method are considered. First one uses large artificial compressibility parameter and the iterative solution approximates unsteady evolution of flow. The second approach int...
متن کاملTurbulent Flow over Cars
In this paper the flow behaviour over a number of car bodies is studied. For this purpose the unsteady 2-D incompressible Navier-Stokes equations have been applied. After averaging and nondimensionalizing the equations, the system of equations has been transformed from the Cartesian (x-y) coordinates to a body fitted generalized (-) coordinate. As the flow is incompressible, the density in the ...
متن کاملA p-multigrid spectral difference method for two-dimensional unsteady incompressible Navier–Stokes equations
This paper presents the development of a 2D high-order solver with spectral difference method for unsteady incompressible Navier–Stokes equations accelerated by a p-multigrid method. This solver is designed for unstructured quadrilateral elements. Time-marching methods cannot be applied directly to incompressible flows because the governing equations are not hyperbolic. An artificial compressib...
متن کاملAn Enhanced Flux Treatment in Solving Incompressible Flow in a Forward-Facing Step
The aim of this paper is to give a detailed effect of several parameters such as step height, Reynolds number, contraction ratio, and temperature difference between the entrance and solid boundaries, of a forward-facing step. An accurate length of separation and reattachment zones are achieved. A finite-volume method (FVM) has been developed to study incompressible flow in a forward-facing step...
متن کاملIncompressible laminar flow computations by an upwind least-squares meshless method
In this paper, the laminar incompressible flow equations are solved by an upwind least-squares meshless method. Due to the difficulties in generating quality meshes, particularly in complex geometries, a meshless method is increasingly used as a new numerical tool. The meshless methods only use clouds of nodes to influence the domain of every node. Thus, they do not require the nodes to be conn...
متن کامل