Showing papers in "Journal of Computational Physics in 1975"

TL;DR: In this article, the authors describe a new algorithm for Monte Carlo simulation of Ising spin systems and present results of a study comparing the speed of the new technique to that of a standard technique applied to a square lattice of 6400 spins evolving via single spin flips.

TL;DR: In this paper, the finite difference procedure and the subgrid scale (SGS) motion model are used to simulate high Reynolds number turbulent flows of incompressible fluids in plane channels and annuli, and the boundary conditions are formulated in a manner consistent with the SGS theory.

TL;DR: In this article, a phenomenological model for binary collisions in a gas mixture having continuous internal energy is developed, based on the relaxation concept applied to individual collisions and interpreted statistically in a manner suitable to Monte Carlo simulation of rarefied flows.

TL;DR: In this article, the equations of fluid motion have been formulated in a generalized noncartesian, nonorthogonal coordinate system and a particular coordinate transformation which transforms a domain with an irregular lower boundary into a cube has been constructed.

TL;DR: In this paper, the Lax-Wendroff, leapfrog, and upstreaming types of FCT are compared with one another and with some conventional FCT algorithms.

TL;DR: In this paper, a general fourth order differencing scheme was developed and applied to three viscous test problems to verify the accuracy and applicability of the technique, which is atypical since only three nodes are necessary to obtain the desired fourth order accuracy.

TL;DR: In this article, the boundary conditions for the discrete wave equation are constructed using projection operators, and the separation of waves into ingoing and outgoing waves inherent in these boundary conditions greatly facilitates diagnostics.

TL;DR: In this article, a new computing technique is described for the solution of fluid flow problems in which several fields interpenetrate and interact with each other, and an implicit coupling for each field between mass transport and equation of state allows for calculations in all flow-speed regimes, from far subsonic (incompressible) to far supersonic.

TL;DR: In this article, it is shown that nonlinear iterative procedures can be applied successfully in either situation, and it is also shown that the method used is successful for hypothetical (but unreal) distributions.

TL;DR: In this article, a Monte Carlo method for the grand canonical ensemble is described and used to study the gas-liquid transition of a 12-6 fluid at a reduced temperature of 1.15.

TL;DR: In this paper, the full Navier-Stokes equations are solved with a finite-difference scheme based upon an Arbitrary Lagrangian-Eulerian (ALE) computing mesh with vertices that may move with the fluid (Lagrangian), remain fixed (Eulerians), or move in any prescribed manner.

TL;DR: Some methods for the numerical solution of the regularized long-wave equation, u t + u x + u uu x − u xxt = 0, are described in this paper.

TL;DR: In this article, the authors propose to replace the ordinary kinetic energy function for a classical system of point masses by a more general quadratic form (12 Σij=1N qiMijqj), where Mij is an arbitrary positive-definite symmetric "mass tensor", and obtain a system having different dynamics but the same equilibrium properties as the original system.

TL;DR: In this paper, the supersonic flow of a three-dimensional jet exhausting into an ambient stream is modeled by a forward marching procedure which integrates a set of coupled nonlinear multidimensional equations, and stable and apparently accurate solutions are obtained for axial steps considerably larger than those normally permissible with many conditionally stable procedures.

TL;DR: In this paper, a finite difference scheme for solving the equations of fluid motion in a generalized coordinate system has been constructed, which conserves mass and all the first integral moments of the motion.

TL;DR: In this paper, a numerical method to compute the solution of a system of conservation laws subject to an initial condition and certain boundary conditions which involve a free boundary is described, which is specially designed to solve the Eulerian equations of compressible flow.

TL;DR: A previously described numerical technique for the solution of multiphase flow dynamics problems is here both simplified and extended as mentioned in this paper, which cuts down slightly on the momentum coupling among fields, allowing for considerable reduction in complexity of the formulation.

TL;DR: In this paper, a generalized mixed Lagrangian-Eulerian computing technique for incompressible fluid flows is presented, which combines the advantages of two existing techniques such that conservation of both linear and angular momentums is insured.

TL;DR: In this article, a set of warm plasma dispersion relations appropriate to a large class of electromagnetic plasma simulation codes is derived and the numerical Cherenkov instability is shown by analytic and numerical analysis to be the most significant nonphysical effect involving transverse electromagnetic waves.

TL;DR: In this paper, a descriptive account of a type of iterative method for solving elliptic equations is given, which involves the use of more than one finite difference or element grid.

TL;DR: In this paper, the problem of semidiscretized approximation for the initial boundary-value problem of the wave equation was analyzed via a uniformly valid asymptotic expansion, and the point-wise convergence properties for the propagation of discontinuities were investigated.

TL;DR: In this paper, the eigenvalue problem arising in the one-dimensional normal mode analysis of fixed boundary magnetohydrodynamic stability is solved by a finite element method, where piecewise constant, discontinuous basis functions are used for two components of the displacement vector.

TL;DR: In this article, the authors discuss the computational problem encountered in making direct variational calculations of the reduced density matrices of many-particle systems, and two different algorithms are presented for which working programs have been written.

TL;DR: In this article, a method to determine for arbitrary interparticle force laws a best combination of charge assignment and potential solvers in both momentum and energy conserving schemes is presented, together with explicit expressions for the errors in forces and harmonic amplitudes together with expressions for influence functions which minimize those errors.

TL;DR: In this article, a method for the solution of transient, incompressible viscous flow in two dimensions was described, where dependent variables, stream function and vorticity, were approximated over each triangular element using linear interpolation functions.

TL;DR: In this article, a method is described for constructing a curvilinear-orthogonal mesh grid, and a method to perform calculations in such mesh grid is also illustrated for the problem of laminar flow in rod bundle geometry.