For solving time-dependent convection-dominated partial differential equations (PDEs),
which arise frequently in computational physics, high order numerical methods, including …

This paper considers the accuracy of projection method approximations to the initial–
boundary-value problem for the incompressible Navier–Stokes equations. The issue of how …

A method is described to solve the time-dependent incompressible Navier-Stokes equations
with finite differences on curvilinear overlapping grids in two or three space dimensions. The …

We describe a numerical method for modeling temperature-dependent fluid flow coupled to
heat transfer in solids. This approach to conjugate heat transfer can be used to compute …

A new fourth-order accurate finite difference scheme for the computation of unsteady viscous
incompressible flows is introduced. The scheme is based on the vorticity-stream function …

A Lagrangian meshless method is introduced for numerical simulation of flows of
incompressible fluids with free surface. Poisson Pressure Equation (PPE) formulation of …

In this paper we discuss the derivation and use of local pressure boundary conditions for
finite difference schemes for the unsteady incompressible Navier–Stokes equations in the …

A fourth order finite difference method is presented for the 2D unsteady viscous
incompressible Boussinesq equations in vorticity-stream function formulation. The method is …

A scheme for the solution of the time-dependent Maxwell's equations on composite
overlapping grids is described. The method uses high-order accurate approximations in …

We consider numerical boundary conditions for high order finite difference schemes for
solving convection–diffusion equations on arbitrary geometry. The two main difficulties for …