ISSN Online: 2377-424X
ISBN Print: 1-56032-797-9
International Heat Transfer Conference 11
A 2nd ORDER FINITE-VOLUME UNSTRUCTURED HYBRID MESH ALGORITHM FOR 2D HEAT TRANSFER AND INCOMPRESSIBLE FLUID FLOWS
Abstract
A Finite-Volume method for the numerical integration of the Navier-Stokes equations for 2D incompressible fluid flow is presented in a computational domain divided into polygon triangles and quadrilaterals that can be arbitrary mixed. Convection discretization was performed with a new second order accurate Upwind Least Squares Scheme (ULSS) in the framework of primitive variables where a projection method is used to calculate the pressure field and the system of algebraic equations is solved by the biconjugate gradient stabilized method (BI-CGSTAB)
Numerical solutions are compared with analytical solutions of a 2D test case and for the driven cavity flow at Re=100. The evolution of the error norm slope as a function of the mesh parameters, confirm that the ULS Scheme is second order accurate to solve 2D incompressible fluid flow problems.
Numerical solutions are compared with analytical solutions of a 2D test case and for the driven cavity flow at Re=100. The evolution of the error norm slope as a function of the mesh parameters, confirm that the ULS Scheme is second order accurate to solve 2D incompressible fluid flow problems.