NUMERICAL SIMULATION OF NAVIER-STOKES EQUATIONS USING MAC METHOD IN CONFINED INCOMPRESSIBLE FLOWS

A High Order Numerical Scheme for Incompressible Navier-Stokes Equations

To solve the incompressible Navier-Stokes equations in a generalized coordinate system, a high order solver is presented. An exact projection method/fractional-step scheme is used in this study. Convective terms of the Navier-Stokes (N-S) equations are solved using fifthorder WENO spatial operators, and for the diffusion terms, a sixthorder compact central difference scheme is employed. The thi...

Local discontinuous Galerkin numerical solutions of non-Newtonian incompressible flows modeled by p-Navier-Stokes equations

In this work we present a Local Discontinuous Galerkin 10 (LDG) method for solving non-Newtonian incompressible flow problems. 11 The problems are modeled by p−type Navier-Stokes equations where 12 the shear stress depends nonlinearly on the shear rate, and the extra 13 stress tensor follows a p−power rule (p−NS). The aim of this paper 14 is to present an efficient way for discretizing the gove...

Numerical Methods for the Navier-stokes Equations. Applications to the Simulation of Compressible and Incompressible Viscous Flows

Artificial compressibility method revisited: Asymptotic numerical method for incompressible Navier-Stokes equations

The artificial compressibility method for the incompressible Navier-Stokes equations is revived as a high order accurate numerical method (4th order in space and 2nd order in time). Similar to the lattice Boltzmann method, the mesh spacing is linked to the Mach number. The accuracy higher than that of the lattice Boltzmann method is achieved by exploiting the asymptotic behavior of solution of ...

An Immersed Interface Method for Incompressible Navier-Stokes Equations