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A simple approach to discretize the viscous term with spatially varying (eddy-)viscosity
Trias Miquel, Francesc Xavier; Gorobets, Andrei; Oliva Llena, Asensio
Universitat Politècnica de Catalunya. Departament de Màquines i Motors Tèrmics; Universitat Politècnica de Catalunya. CTTC - Centre Tecnològic de la Transferència de Calor
A simple approach to discretize the viscous dissipation term in the incompressible Navier–Stokes equations with spatially varying viscosity is presented. Unlike the case where the viscosity remains constant, its discretization may be quite cumbersome especially for high-order staggered formulations. To circumvent this problem, we propose an alternative form of the viscous term whose discretization is straightforward. Notice that this approach is also suitable for eddy-viscosity models for Large-Eddy Simulation. Moreover, since it is based on already available operators, it can be easily implemented on any structured or unstructured code. The (supra)convergence of the method is numerically shown on both a fourth-order Cartesian staggered and an unstructured collocated formulation.
Peer Reviewed
Àrees temàtiques de la UPC::Enginyeria mecànica::Mecànica de fluids
Fluid dynamics
Turbulence
Large-Eddy Simulation
Eddy-viscosity
High-order schemes
Symmetry-preserving discretization
Staggered grid
Unstructured grid
Dinàmica de fluids
Turbulència
info:eu-repo/semantics/publishedVersion
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