Purpose This paper aims to present the development of a highly parallel finite-difference
computational fluid dynamics code in generalized curvilinear coordinates system. The …

This paper presents an efficient high-order radial basis-function-based differential
quadrature–finite volume method for incompressible flows on unstructured grids. In this …

Newton linearization is implemented for the discretized advection terms in the Navier-Stokes
momentum equations. A modified Newton linearization algorithm is developed by analyzing …

Within the framework of the high-order finite volume (FV) method, a high-order gas kinetic
flux solver (GKFS) is developed in this work for simulation of two-dimensional …

In this study, a high-order implicit least squares-based finite difference-finite volume (ILSFD-
FV) method with a lattice Boltzmann flux solver is presented for the simulation of two …

We develop a high-order finite difference scheme for axisymmetric wave propagation in a
cylindrical conduit filled with a viscous fluid. The scheme is provably stable, and overcomes …

We develop a method to seamlessly simulate flows over a wide range of Knudsen numbers
past arbitrarily shaped immersed boundaries. To achieve seamless computation, ie, not use …

Finite-difference collocated schemes are employed to solve incompressible flow in
cylindrical coordinates. Pressure Poisson equation for a cylindrical coordinate is derived …

Benchmark numerical solutions of 2-D steady incompressible flow in a driven polar cavity at
high Reynolds numbers are presented. The Navier-Stokes equations in streamfunction and …

Processes that can be described by systems of interacting particles are ubiquitous in nature,
society, and industry, ranging from animal flocking, the spread of diseases, and formation of …