Journal of Computational Physics

We describe a method for solving the two-dimensional Navier Stokes equations in irregular physical domains. Our method is based on an underlying uniform Cartesian grid and second-order finite-difference/finite-volume discretizations of the ...

We describe a parallel version of our high-order-accuracy particle-mesh code for the simulation of collisionless protoplanetary disks. We use this code to carry out a massively parallel, two-dimensional, time-dependent, numerical simulation, which ...

This paper presents numerical evidence that in quantum systems with chaotic classical dynamics, the number of scattering resonances near an energy E scales like (D(KE)+1)/2 as 0. Here, KE denotes the subset of the energy surface {H=E} which stays ...

Previously developed characteristic-wave-based boundary conditions for multicomponent perfect gas mixtures are here extended to real gas mixtures. The characteristic boundary conditions are derived from the one-dimensional wave decomposition of the ...

A temporal laminate is a material whose parameters are homogeneous in space but vary periodically and discontinuously in time. In this article, we consider wave propagation through a temporal laminate where the period of the disturbance moving through ...

A pressure-based algorithm is presented for turbulent cavitating flow computations. Single-fluid Navier Stokes equations cast in their conservative form, along with a volume fraction transport equation, are employed. The flow field is computed in both ...

An efficient and accurate numerical scheme is presented for the three-dimensional Navier Stokes equations in primitive variables in a cylinder. The scheme is based on a spectral-Galerkin approximation for the space variables and a second-order ...

A fully conservative and efficient numerical algorithm is developed for fluid simulations of radio-frequency plasma discharges. Results are presented in one and multiple dimensions for a helium discharge. The algorithm produces accurate results even on ...

We develop a class of numerical methods for stiff systems, based on the method of exponential time differencing. We describe schemes with second- and higher-order accuracy, introduce new Runge Kutta versions of these schemes, and extend the method to ...

The outstanding problem of finding a simple Muskhelishvili-type integral equation for stress problems on multiply connected domains is solved. Complex potentials are represented in a way which allows for the incorporation of cracks and inclusions. ...

A parallel computational implementation of a meshfree method the reproducing kernel particle method (RKPM) is used for 3-D implicit CFD analysis. A novel procedure for implementing the essential boundary condition using the hierarchical enrichment ...