Showing papers in "Journal of Computational Physics in 1982"

TL;DR: The vorticity-stream function formulation of the two-dimensional incompressible NavierStokes equations is used to study the effectiveness of the coupled strongly implicit multigrid (CSI-MG) method in the determination of high-Re fine-mesh flow solutions.

TL;DR: In this paper, the spectral properties of solutions to the time-dependent Schrodinger equation were used to determine the eigenvalues and eigenfunctions of the Schrodings equation.

TL;DR: In this article, the authors extend Winslow's method for the automatic generation of computation meshes to adaptively vary the zone sizes and orthogonality of grid lines in the resulting mesh.

TL;DR: A comprehensive review of methods of numerically generating curvilinear coordinate systems with coordinate lines coincident with all boundary segments is given in this article, along with a general mathematical framework and error analysis common to such coordinate systems.

TL;DR: In this paper, the general theory of kernel estimation is applied to particle methods in hydrodynamics and a simple form of estimation leads to a particle method which does not require a grid and satisfies the conservation laws very accurately.

TL;DR: The end result is code, BOXMG, in which one need only specify the (logically rectangular, positive definite) matrix problem; BOXMG does everything else necessary to set up the auxilliary coarser problems to achieve a multigrid solution.

TL;DR: A comprehensive study of numerical techniques for solving the atmospheric diffusion equation is reported in this article, in which the three-dimensional problem is converted into a sequence of one-dimensional problems, and a Galerkin, linear finite element scheme with a nonlinear filter is found to be computationally superior to other methods tested for the advection-diffusion components.

TL;DR: In this paper, the transport of neutral atoms and molecules in the edge and divertor regions of fusion experiments has been calculated using Monte-Carlo techniques using a pseudocollision method.

TL;DR: In this article, a family of boundary conditions which simulate outgoing radiation are derived and applied to the computation of steady state flows and are shown to significantly accelerate the convergence to steady state.

TL;DR: In this article, an implicit formulation of the Vlasov-maxwell equations is used to relax restrictions on the time-step and mesh spacing so that larger values which correspond to the frequencies and wavelengths of interest can be used.

TL;DR: In this article, a global finite difference approach is used in which the nonlinear difference equations are solved by a damped-modified Newton method, and an assumed temperature profile helps to generate a converged numerical solution on an initial coarse grid.

TL;DR: The Davidson's algorithm for solving large symmetric matrices is generalized to nonsymmetric cases and can be expected to converge particularly well for the eigenvalue whose eigenvector has a desired structure.

TL;DR: In this paper, the authors extend the studies conducted by Grosch and Orszag by deriving asymptotic approximations to the Chebyshev coefficients of simple model functions, making it possible to conduct more systematic comparisons of different methods, extend the range of comparisons, and, perhaps most important, give simple analytic formulas for choosing the optimum domain size or mapping parameter for various situations.

TL;DR: In this paper, a method for solving the quasineutral hybrid plasma equations in two dimensions is presented, using full ion dynamics and inertialess electrons, and is extended to allow plasma-vacuum interfaces of arbitrary shape.

TL;DR: Several different approaches to simulation on deforming finite elements are shown to generate the same weighted residuals formulation for the evolution of the dependent variables as mentioned in this paper, and control of node motion by means of mesh stretching in two dimensions is illustrated in the context of phase change problems.

TL;DR: In this article, second and third-order algorithms are presented for calculating translating and rotating steady-state solutions of the 2D incompressible Euler equations (which we call V-states).

TL;DR: A new method is described for calculating several of the extreme eigensolutions of large real non-symmetric matrices, a generalization of the Davidson-approach.

TL;DR: In this article, the application of solution methods for compact finite-difference schemes to a vorticity-velocity form of the two-dimensional unsteady Navier-Stokes equations is described.

TL;DR: In this article, the stability and accuracy of implicit time integration schemes for plasma particle-in-cell simulation and the synthesis of new algorithms have been undertaken to increase the size of the time step, and thereby extend the applicability of kinetic plasma simulation.

TL;DR: A detailed description of spectral multigrid methods, which includes the interpolation and coarse-grid operators for both periodic and Dirichlet problems, is provided.

TL;DR: The Toda Chain is a nonlinear mass-spring chain which can in principle be integrated analytically by the action-angle theory of classical mechanics as discussed by the authors, and the transformation from physical variables to action variables can be implemented very simply on a computer.

TL;DR: In this paper, a stable and efficient mixed-frame method has been formulated for the solution of the time-dependent equation of radiative transfer with full retention of all velocity dependent terms to O ( v c ).

TL;DR: In this paper, a numerical simulation of the displacement of oil by water in a vertical porous slab is studied, where the water saturation is governed by a quasilinear diffusion-convection equation.

TL;DR: In this article, an extension of semi-implicit methods such as the implicit continuous Eulerian (ICE) technique for modeling fluid flow is presented, which eliminates the material Courant stability limit associated with semi implicit methods at little additional computational cost.

TL;DR: In this article, a finite difference scheme for the numerical study of the Korteweg-de Vries equation is constructed, which is explicit and yet conserves exactly the energy of the computed solutions.

TL;DR: In this article, a modification which reduces the computational cost of particle-in-cell algorithms for simulation of plasmas is described, which is obtained by integrating only the electrons through a number of time steps (sub-cycles) in order to resolve their evolution, while integrating the much slower ions only once per cycle.

TL;DR: In this article, the location of the roots of the analytic ǫ = 0 for analytic ƒ is examined and new formulas are proposed for calculating the integrals involved in the application of the method.

TL;DR: Pople et al. as discussed by the authors studied two recent computational methods for the solution of large systems of linear equations such as they arise in molecular calculations and drew some conclusions regarding the relative merits of these algorithms from the solutions of a physical 7271-dimensional linear system, pertaining to the electron correlation in the CO molecule.

TL;DR: It would appear that there is no lattice in any dimension which cannot be implemented on the DAP, though sometimes the programming of logical masks is necessary.