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A two-step monolithic method for the efficient simulation of incompressible flows
Ryzhakov, Pavel; Cotela Dalmau, Jordi; Rossi, Riccardo; Oñate Ibáñez de Navarra, Eugenio
Universitat Politècnica de Catalunya. Departament de Resistència dels Materials i Estructures en Enginyeria; Universitat Politècnica de Catalunya. (MC)2 - Grup de Mecànica Computacional en Medis Continus
We propose a simple technique for improving computationally the efficiency of monolithic velocity–pressure solvers for incompressible flow problems. The idea consists in solving the discrete nonlinear system of governing equations in two steps: introducing ‘artificial’ compressibility first and afterwards correcting the solution by solving the original incompressible system. The speed-up is obtained because of a better conditioning of the modified discrete system solved at the prediction step. The formulation can be easily implemented into existing monolithic codes requiring minor modification only. The paper concludes with two examples validating the formulation and facilitating the estimation of the obtained speed-up. For the tests chosen, an average speed-up is approximately double, suggesting that the method is a feasible approach for incompressible flows' simulation.
Peer Reviewed
Àrees temàtiques de la UPC::Enginyeria mecànica::Mecànica de fluids
Fluid mechanics
incompressible flows
monolithic solvers
speed-up
computational efficiency
FEM
CFD
Mecànica de fluïds
info:eu-repo/semantics/publishedVersion
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