Indian Journal of Science and Technology

Abstract

A stable explicit algorithm is introduced for sequential solution of pseudo-compressible time dependent flow equations (in which a transient pressure term is added to the continuity equation). The finite volume method for unstructured meshes is adopted to obtain primitive variables (pressure and velocity components) at the nodal points of an unstructured triangular mesh by numerical solutions of transient equations for mass and incompressible momentum conservations. The developed non-staggered solution algorithm relaxes the need to add extra terms (i.e. the artificial dissipation operators) to stabilize the iterative solution procedure that lead to reach a stable explicit solution. To verify the efficiency and accuracy of the developed incompressible flow solver, steady and unsteady laminar flow test cases are simulated. To assess the accuracy of the results of the introduce algorithm, the computed results are compared with the available numerical and analytical solution results reported in the literature for the selected benchmark test case.
Keywords: Unstructured finite volume solution, Conservation equations, Unsteady laminar incompressible flow, Uncoupled explicit algorithm, Primitive variable approach.