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An accurate finite element method for the numerical solution of isothermal and incompressible flow of viscous fluid, part I: computational analysis. (arXiv:1709.00913v2 [cs.CE] UPDATED)

来源于:arXiv
Despite its numerical challenges, finite element method is used to compute viscous fluid flow. A consensus on the cause of numerical problems has been reached; however, general algorithms---allowing a robust and accurate simulation for any process---are still missing. Either a very high computational cost is necessary for a direct numerical solution (DNS) or some limiting procedure is used by adding artificial dissipation to the system. These stabilization methods are often applied relative to the element size such that a local monotonous convergence cannot be observed. We need a computational strategy for solving viscous fluid flow using only the balance equations. In this work, we present a general procedure solving fluid mechanics problems without use of any stabilization or splitting schemes. Hence its generalization to multiphysics applications is straight-forward. We discuss several numerical problems and present the methodology rigorously. Implementation is achieved by using ope 查看全文>>