Showing papers in "Journal of Computational Physics in 1985"

TL;DR: In this paper, a numerical method for computing three-dimensional, time-dependent incompressible flows is presented based on a fractional-step, or time-splitting, scheme in conjunction with the approximate-factorization technique.

TL;DR: An algorithm is described for rapid solution of classical boundary value problems (Dirichlet an Neumann) for the Laplace equation based on iteratively solving integral equations of potential theory using CPUs proportional to n.

TL;DR: A procedure for constructing solutions to the Riemann problem for gas dynamics with a general convex equation of state is given in this paper, where approximate procedures involving a local parametrization of the EO of state are introduced in order to calculate numerical fluxes in conservative finite difference schemes.

TL;DR: In this paper, a new implicit unconditionally stable high resolution total variation diminishing (TVD) scheme was proposed for steady state calculations, which is a member of a one parameter family of explicit and implicit second order accurate schemes developed by Harten for the computation of weak solutions of hyperbolic conservation laws.

TL;DR: In this paper, a cubic-polynomial interpolation method, where the gradient of the quantity is a free parameter, is proposed for solving hyperbolic-type equations, and various choices of the gradient are investigated, and a stable and less diffusive scheme is made possible without clipping or the flux-correction procedure.

TL;DR: In this article, point vortex methods of high order accuracy are developed for inviscid, incompressible fluid flow in two or three space dimensions, where velocity kernels are smooth functions given by simple, explicit formulas.

TL;DR: In this paper, a limit form of Richardson extrapolation is used to obtain interpolation formulae with accuracy of a higher degree than that obtained with the variation diminishing spline approximation.

TL;DR: In this article, a contact function for two arbitrary ellipsoids is derived, where the numerical value of the contact function is less than 1 if they overlap, and greater than 2 if they do not.

TL;DR: It will be shown that the number of points per wavelength, measured by ( Kh ) −1 , is not sufficient to determine the accuracy of a given discretization, and the quantity K 3 h 2 is shown to determined the accuracy in the L 2 norm for a second-order discretized method applied to several propagation models.

TL;DR: In this article, a number of implicit integration schemes for the one-dimensional Euler equations with conservative upwind spatial differencing are tested on a problem of steady discontinuous flow.

TL;DR: In this article, five different finite difference schemes, first-order upwind, skew-upwind, secondorder up-wind and second-order central differencing, have been studied for high cell Peclet number flows.

TL;DR: In this paper, it was found that the wake bubble grows in length approximately linearly with Re. The width increases like Re12 up to Re = 300 at which the wake resembles a pair of translating, uniform vortices, both touching the center line.

TL;DR: In this paper, the applicability of three types of damped least-squares algorithms to the kind of sparse matrices encountered in seismic tomography was tested. And the results indicated that conjugate directions methods are to be preferred to the more commonly applied Gauss-Seidel type of algorithms.

TL;DR: In this paper, a semi-implicit spectral method for the computation of buoyancy induced two-dimensional flow of a viscous incompressible fluid is presented, where all the variables are expanded in double truncated series of Chebyshev polynomials, and the pressure distribution at the boundary of the computational domain is determined by means of an influence matrix technique in order to satisfy the incompressibility condition everywhere in the field.

TL;DR: In this article, a simplified and noniterative approximate Riemann solver is described, which is characterized by only two material-dependent parameters: the local speed of sound and a parameter directly related to the shock density ratio in the limit of strong shocks.

TL;DR: In this article, the diffusion of a continuum field by the random walk (RW) displacement of a set of particles is considered, where elements of the gradients of the diffusive concentration are transported by computational particles.

TL;DR: In this article, a Fourier-Chebyshev spectral method for the incompressible Navier-Stokes equations is described, which is applicable to a variety of problems including some with fluid properties which vary strongly both in the normal direction and in time.

TL;DR: In this article, a non-LTE non-local statistical equilibrium (NLSE) algorithm is proposed to solve the problem of radiative hydrodynamics with radiation transport in lines and continua.

TL;DR: A new Chebyshev pseudospectral algorithm for second-order elliptic equations using finite element preconditioning is proposed and tested on various problems and the numerical results show that bilinear elements produce spectral accuracy with the minimum computational work.

TL;DR: A symbol manipulation program in VAXIMA is written that has as input the formula for the given differential equation in some natural coordinates and has as output the required FORTRAN subroutines that will tabulate the coefficients of these differential equations using the tabulated coordinate transformation.

TL;DR: In this article, a review of Monte Carlo methods for many-body systems is presented, with a particular emphasis on problems illustrating general progress in the implementation of the method and in the analysis of the results.

TL;DR: This construction is particularly well suited to time-dependent problems since using information from the Voronoi mesh at the previous time step allows us to reduce the construction to O(N) operations when the two configurations are close, while the algorithm does not break down when they are far apart.

TL;DR: In this article, a grid-free numerical method for solving two-dimensional, inviscid, incompressible flow problems with small density variations is presented, based on a discretization of the equations written in the vorticity-stream formulation.

TL;DR: In this article, the behavior of a centered finite volume scheme for the isoenergetic Euler equations in two space dimensions is studied by numerical differentiation and approximate eigensystem analysis.

TL;DR: In this article, several new numerical methods for solving a general class of linear and nonlinear 1-dimensional time-dependent Fokker-Planck equations are suggested, which are all applied to the nonlinear problem of Compton and inverse Compton scattering, and numerical results are compared.

TL;DR: In this paper, the authors investigated the effect of the choice of cutoff function and cutoff length on the accuracy of the vortex method for inviscid flows in the absence of boundaries.

TL;DR: A “prime factor” Fast Fourier Transform algorithm is described which is self-sorting and computes the transform in place and it is obtained that the required indexing is actually simpler than that for a conventional FFT.

TL;DR: In this article, a method for finding the osculating circle and the normal of a curve defined by an array of partial volumes is presented, within the framework of an enthalpy formulation, to the solutions of model equations that describe the motion of a front separating ice and supercooled water.