Showing papers in "Journal of Computational Physics in 1978"

TL;DR: In this paper, the finite difference methods of Godunov, Hyman, Lax and Wendroff (two-step), MacCormack, Rusanov, the upwind scheme, the hybrid scheme of Harten and Zwas, the antidiffusion method of Boris and Book, and Glimm's method, a random choice method, are discussed.

TL;DR: A new general purpose algorithm for multidimensional integration is described, an iterative and adaptive Monte Carlo scheme that is considerably more efficient than several others currently in use for a number of sample integrals of high dimension.

TL;DR: A new iterative method for the solution of systems of linear equations has been recently proposed by Meijerink and van der Vorst and has been applied to real laser fusion problems taken from typical runs of the laser fusion simulation code LASNEX.

TL;DR: In this article, the sensitivity analysis presented in this paper is nonlinear and thus permits one to study the effects of large deviations from the nominal parameter values, and since all parameters are varied simultaneously, one can explore regions of parameter space where several parameters deviate simultaneously from their nominal values.

TL;DR: In this article, a formalism is developed which allows overlap, kinetic energy, potential energy and electron repulsion integrals over cartesian Gaussian functions to be expressed in a very compact form involving easily computed auxiliary functions.

TL;DR: In this paper, the method of collocation using two finite element techniques is applied to the solution of the general population balance equation for particulate systems, and numerical solutions by both techniques are obtained in six cases for which analytical or asymptotic solutions are available.

TL;DR: In this paper, a grid free method for approximating incompressible boundary layers is introduced, which is related to the earlier vortex method; simplicity is achieved at the cost of replacing the Navier-Stokes equations by the Prandtl boundary layer equations.

TL;DR: In this article, the solutions of the equation u tt − Δu + m 2 u + gu p = 0 for p odd and m, g > 0 were shown to remain bounded as t → ∞.

TL;DR: In this paper, a method for the numerical calculation of Fourier transforms in variables that are the logarithms of the original variable and transform variable is described, which can also be applied to Bessel and spherical Bessel transforms.

TL;DR: In this article, the Voronoi diagram is constructed given a configuration of points, and a procedure for constructing the corresponding Voroni diagram is given, exact for molecules in the bulk polyhedra of surface molecules can be either eliminated or included using a periodic boundary condition.

TL;DR: A computational procedure is outlined for efficient evaluation of four-center coulomb repulsion integrals using contracted Gaussian basis functions and has been incorporated into the GAUSSIAN-70 molecular orbital program.

TL;DR: In this paper, Monte Carlo techniques have been used to calculate neutral gas distributions in tokamaks, using track length estimators, suppression of absorption, and splitting with Russian roulette to reduce the variance.

TL;DR: In this paper, an exact, computer-oriented Monte Carlo procedure is derived for numerically simulating continuous-time/discrete-state random walks in which the transition probability per unit time from state Sm to state Sn may depend upon the residence time τ in the state Sm. Conditions for applicational feasibility of the simulation procedure are briefly indicated, and explicit stepping algorithms for simple τ-dependencies are obtained.

TL;DR: In this paper, the authors trace out the broad characteristics of a class of higher order finite difference schemes which are applicable to the solution of parabolic partial differential equations associated with viscous fluid flow problems.

TL;DR: In this article, a grid-generation procedure is proposed based on the solution of Laplace's equation for the Cartesian coordinates of the orthogonal grid nodes, and the combined procedure is tested and demonstrated by calculating the flow properties in a diffuser of sufficient divergence to cause recirculation.

TL;DR: In this article, the authors derive alternate boundary conditions which do prevent wall reflections, and at the same time can be embedded in a natural way in a Galerkin variational formulation of the duct problem.

TL;DR: In this paper, the one-dimensional, time-dependent, multicomponent premixed laminar flame is solved via a highly accurate method of lines approach via the neglect of pressure variations and viscous dissipation and the use of a Lagrangian spatial coordinate.

TL;DR: In this paper, a new class of numerical algorithms for computer simulation of low frequency electromagnetic and electrostatic phenomena in magnetized plasma is presented, which are solved in the limits of quasineutrality and negligible transverse displacement current (Darwin's model).

TL;DR: In this paper, a multidimensional hybrid simulation model has been developed for use in studying plasma phenomena on extended time and distance scales, which makes fundamental use of the small Debye length or quasineutrality assumption.

TL;DR: A review is presented of the many different finite difference and finite element methods (FDM and FEM) for computing recirculating flows as exemplified by the cavity flow problem and the integrated schemes appear to be simplest and most efficient.

TL;DR: In this paper, the authors systematically evaluate four methods for solving two-dimensional, linear elliptic partial differential equations on general domains: standard finite differences, collocation, Galerkin, and least squares using Hermite cubic piecewise polynomials.

TL;DR: This work has devised and tested a practical algorithm for rapidly solving (1) in the difficult case of large n and numerous strong constraints and hopes this will make the distance geometry approach to conformational calculation more feasible for large, highly constrained systems.

TL;DR: In this paper, a 2 1 2 -dimensional electrostatic particle code in a slab geometry has been developed to study low-frequency oscillations such as drift wave and trapped particle instabilities in a nonuniform bounded plasma.

TL;DR: In this article, splitting schemes are applied to the numerical solution of a two-dimensional Vlasov equation in configuration space, by treating the convective term and the acceleration term separately.

TL;DR: In this paper, the pseudospectral method is applied to the solution of advection/diffusion problems arising from the dispersion of contaminants in the atmosphere, and two techniques are developed for the pseudo-sensor treatment of nonperiodic boundary conditions that typically exist in such problems.

TL;DR: In this paper, a new iteration scheme is proposed for the solution of the ion optics of high current ion beams extracted from a plasma, which requires far less computational effort than other schemes; converges for arbitrary perveance; and is not geometry dependent.

TL;DR: In this paper, a coordinate system suitable for numerical computation of viscous transonic cascade flows is constructed, which consists of coordinate loops surrounding the airfoil and radial coordinate lines normal to the air-foil surface.

TL;DR: In this paper, a convergent numerical model for the calculation of the optical properties of an ion beam is given, which includes the effects of space-charge of the ions and an equilibrium distribution of electrons.