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.
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CEA, DAM, DIF, F-91297 Arpajon, France
Univ Paris Saclay, CEA DAM DIF, Lab Informat Haute Performance Calcul & Simulat, F-91297 Arpajon, FranceUniv Paris Cite, Sorbonne Univ, CNRS, Lab Jacques Louis Lions, F-75013 Paris, France
Hermeline, Francois
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Labourasse, Emmanuel
Patela, Julie
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Univ Paris Cite, Sorbonne Univ, CNRS, Lab Jacques Louis Lions, F-75013 Paris, France
CEA, DAM, DIF, F-91297 Arpajon, FranceUniv Paris Cite, Sorbonne Univ, CNRS, Lab Jacques Louis Lions, F-75013 Paris, France