Objectivity tests for Navier-Stokes simulations: the revealing of non-physical solutions produced by Laplace formulations

On the accuracy of the viscous form in simulations of incompressible flow problems ⋮ Evaluation of weakly compressible SPH variants using derived analytical solutions of Taylor-Couette flows ⋮ Artificial boundaries and formulations for the incompressible Navier-Stokes equations: applications to air and blood flows ⋮ A novel smoothed particle hydrodynamics and finite element coupling scheme for fluid-structure interaction: the sliding boundary particle approach

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Analysis of an exact fractional step method
Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
Driven cavity flows by efficient numerical techniques
Incompressible flow computations with stabilized bilinear and linear equal-order-interpolation velocity-pressure elements
Time-accurate incompressible flow computations with quadrilateral velocity-pressure elements
On the downstream boundary conditions for the vorticity-stream function formulation of two-dimensional incompressible flows
Computation of free surface flows with a projection FEM in a moving mesh framework.
Finite element stabilization parameters computed from element matrices and vectors
Numerical investigation on the stability of singular driven cavity flow
An introduction to continuum mechanics
A new consistent splitting scheme for incompressible Navier-Stokes flows: a least-squares spectral element implementation
An overview of projection methods for incompressible flows
Numerical simulation of liquid/gas phase flow during mold filling
Wall-driven incompressible viscous flow in a two-dimensional semi-circular cavity
The 2D lid-driven cavity problem revisited
Unified Lagrangian formulation for elastic solids and incompressible fluids: application to fluid-structure interaction problems via the PFEM
Algebraic multigrid and incompressible fluid flow
A fully 3D finite volume method for incompressible Navier–Stokes equations
Simulation of flows with violent free surface motion and moving objects using unstructured grids
Numerical Simulation of Transient Free Surface Flows Using a Moving Mesh Technique
Energy transient growth in the Taylor–Couette problem
Motion of two superposed viscous fluids
Stabilized Finite Element Formulations for Incompressible Flow Computations
On the flow in an annulus surrounding a whirling cylinder
A fractional-step method for the incompressible Navier-Stokes equations related to a predictor-multicorrector algorithm
Numerical simulation of unsteady multidimensional free surface motions by level set method
Instability and mode interactions in a differentially driven rotating cylinder
Complex dynamics in a short annular container with rotating bottom and inner cylinder
The violation of objectivity in Laplace formulations of the Navier–Stokes equations
A consistent splitting scheme for unsteady incompressible viscous flows I. Dirichlet boundary condition and applications
A level set characteristic Galerkin finite element method for free surface flows
An iterative stabilized fractional step algorithm for numerical solution of incompressible N-S equations
The particle finite element method: a powerful tool to solve incompressible flows with free‐surfaces and breaking waves
Incompressible flow computations based on the vorticity-stream function and velocity-pressure formulations