An efficient and accurate implicit DG solver for the incompressible Navier–Stokes equations
Giuseppe Orlando, Alessandro Della Rocca, Paolo Barbante, Luca Bonaventura, Nicola Parolini
Abstract
Abstract We propose an efficient, accurate, and robust implicit solver for the incompressible Navier–Stokes equations, based on a DG spatial discretization and on the TR‐BDF2 method for time discretization. The effectiveness of the method is demonstrated in a number of classical benchmarks, which highlight its superior efficiency with respect to other widely used implicit approaches. The parallel implementation of the proposed method in the framework of the deal.II software package allows for accurate and efficient adaptive simulations in complex geometries, which makes the proposed solver attractive for large scale industrial applications.
Topics & Concepts
SolverDiscretizationCompressibilityComputational fluid dynamicsNavier–Stokes equationsApplied mathematicsMathematical optimizationComputer scienceComputational scienceMathematicsSoftwareMathematical analysisMechanicsPhysicsProgramming languageAdvanced Numerical Methods in Computational MathematicsComputational Fluid Dynamics and AerodynamicsNumerical methods for differential equations