Collision in a cross-shaped domain - A steady 2D Navier-Stokes example demonstrating the importance of mass conservation in CFD

From MaRDI portal
Publication:660377

DOI10.1016/j.cma.2009.06.016zbMath1230.76028OpenAlexW2049902336MaRDI QIDQ660377

Alexander Linke

Publication date: 1 February 2012

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2009.06.016




Related Items (43)

On the accuracy of the viscous form in simulations of incompressible flow problemsSmall-scale divergence penalization for incompressible flow problems via time relaxationStable finite element pair for Stokes problem and discrete Stokes complex on quadrilateral gridsA conservative stable finite element method for Stokes flow and nearly incompressible linear elasticity on rectangular gridOn velocity errors due to irrotational forces in the Navier-Stokes momentum balanceError analysis of proper orthogonal decomposition data assimilation schemes with grad-div stabilization for the Navier-Stokes equationsStokes elements on cubic meshes yielding divergence-free approximationsAn enriched Galerkin method for the Stokes equationsThe Scott-Vogelius finite elements revisitedA numerical investigation of velocity-pressure reduced order models for incompressible flowsNumerical approximation of the Voigt regularization for incompressible Navier-Stokes and magnetohydrodynamic flowsNew connections between finite element formulations of the Navier-Stokes equationsMixed finite element methods with convection stabilization for the large eddy simulation of incompressible turbulent flowsStabilised DG-FEM for incompressible natural convection flows with boundary and moving interior layers on non-adapted meshesThe divergence‐free nonconforming virtual element method for the <scp>Navier–Stokes</scp> problemA divergence-free finite element method for the Stokes problem with boundary correctionRobust globally divergence-free weak Galerkin finite element method for incompressible magnetohydrodynamics flowDesign and analysis of an exactly divergence-free hybridised discontinuous Galerkin method for incompressible flows on meshes with quadrilateral cellsEnforcing energy, helicity and strong mass conservation in finite element computations for incompressible Navier-Stokes simulationsError analysis and iterative solvers for Navier-Stokes projection methods with standard and sparse grad-div stabilizationGrad-div stabilization and subgrid pressure models for the incompressible Navier-Stokes equationsQuasi-optimality of a pressure-robust nonconforming finite element method for the Stokes-problemTowards pressure-robust mixed methods for the incompressible Navier-Stokes equationsModified augmented Lagrangian preconditioners for the incompressible Navier-Stokes equationsISOGEOMETRIC DIVERGENCE-CONFORMING B-SPLINES FOR THE DARCY–STOKES–BRINKMAN EQUATIONSOn the convergence rate of grad-div stabilized Taylor-Hood to Scott-Vogelius solutions for incompressible flow problemsAn efficient time-splitting approximation of the Navier-Stokes equations with LPS modelingWeighted finite element method for the Stokes problem with corner singularityNew Approximate Method for Solving the Stokes Problem in a Domain with Corner SingularityRobust Arbitrary Order Mixed Finite Element Methods for the Incompressible Stokes Equations with pressure independent velocity errorsOn the role of the Helmholtz decomposition in mixed methods for incompressible flows and a new variational crimePressure-robustness and discrete Helmholtz projectors in mixed finite element methods for the incompressible Navier-Stokes equationsSegregated Runge-Kutta time integration of convection-stabilized mixed finite element schemes for wall-unresolved LES of incompressible flowsA discontinuous skeletal method for the viscosity-dependent Stokes problemEfficient and scalable discretization of the Navier-Stokes equations with LPS modelingThe Divergence-Free Nonconforming Virtual Element for the Stokes ProblemEfficient linear solvers for incompressible flow simulations using Scott-Vogelius finite elementsThe Stokes complex: A review of exactly divergence–free finite element pairs for incompressible flowsNew numerical method for the rotation form of the Oseen problem with corner singularityA discontinuous Galerkin method for the stationary Boussinesq systemAnalysis of the Pressure Stabilized Petrov--Galerkin Method for the Evolutionary Stokes Equations Avoiding Time Step RestrictionsTowards a Unified Finite Element Method for the Stokes EquationsConforming and divergence-free Stokes elements on general triangular meshes


Uses Software


Cites Work


This page was built for publication: Collision in a cross-shaped domain - A steady 2D Navier-Stokes example demonstrating the importance of mass conservation in CFD