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Showing papers in "Journal of Computational Physics in 1988"


Journal ArticleDOI
TL;DR: The PSC algorithm as mentioned in this paper approximates the Hamilton-Jacobi equations with parabolic right-hand-sides by using techniques from the hyperbolic conservation laws, which can be used also for more general surface motion problems.

13,020 citations


Journal ArticleDOI
TL;DR: In this article, an upwind differencing scheme of Roe-type for the MHD Riemann problem is constructed, in which the problem is first linearized around some averaged state which preserves the flux differences.

831 citations


Journal ArticleDOI
TL;DR: In this article, a computational model of the swimming of a neutrally buoyant organism undergoing deformations within a region of fluid is presented, where the fluid is regarded as viscous and incompressible and the organism as a massless, elastic boundary immersed in this fluid.

353 citations


Journal ArticleDOI
TL;DR: In this article, the authors assess the performance of Riemann solvers for the one-dimensional Euler equations with polytropic gases, including the type of shock and rarefaction wave equations.

350 citations


Journal ArticleDOI
TL;DR: In this paper, a particle tracking algorithm is developed to extract accurate Lagrangian statistics from numerically calculated velocity fields, such as velocity autocorrelations, structure functions, and frequency spectra.

341 citations


Journal ArticleDOI
TL;DR: In this paper, Lagrangian-Eulerian vortex methods are applied to simulate the motion of an interface between inviscid fluids of different densities, and the simulation results show that the interface as a vortex sheet eliminates numerical diffusion, and by coupling the tracked interface with z stationary grid (using the well-known vortex-inceil method) the high cost associated with traditional vortex m&hods is reduced.

280 citations


Journal ArticleDOI
TL;DR: In this paper, an approximate Riemann solver is presented for the solution of the Euler equations of gas dynamics in one dimension with a general convex equation of state, applied to a standard shock reflection test problem for some specimen equations of state.

267 citations


Journal ArticleDOI
TL;DR: In this article, a numerical algorithm is described which, it is believed, can accurately model the dynamics of a two-dimensional, inviscid, incompressible fluid with unparalled spatial resolution.

257 citations


Journal ArticleDOI
TL;DR: The numerical scheme used by the present time-accurate FEM numerical method for incompressible Navier-Stokes equations, using primitive variables as the unknowns, is a Crank-Nicholson implicit treatment of all equation terms with central differencing for space derivatives as discussed by the authors.

178 citations


Journal ArticleDOI
TL;DR: In this article, the eigenvalue equation and the sets of linear equations that occur in linear and nonlinear response function calculations have a specific paired structure, and iterative algorithms are developed to solve the equations.

175 citations


Journal ArticleDOI
TL;DR: In this article, a new discrete Hamiltonian based on the assumption of the discrete time is proposed, which does not contain any continuous differentiation, but contains only difference quotients, and the canonical equations are single time-step difference equations and exactly conserve the Hamiltonian.

Journal ArticleDOI
TL;DR: In this article, an unsplit, higher order Godunov method for scalar conservation laws in two dimensions is presented. But the method is not suitable for the special case of sharp fronts without any significant distortion.

Journal ArticleDOI
TL;DR: Trajectories and settling speeds for two-particle sedimentation, and settling speed for multiparticle sedimentation from initial distributions on a cubic lattice or at random give good quantitative agreement with existing theories.

Journal ArticleDOI
TL;DR: The iteratively reweighted least squares (IRLS) algorithm as mentioned in this paper provides a means of computing approximate lp solutions (1 ⩽ p), which can be used to solve large, sparse, rectangular systems of linear, algebraic equations very efficiently.

Journal ArticleDOI
TL;DR: In this article, the inverse scattering transform is used to approximate the Korteweg-de Vries equation, which can be used in order to approximate various numerical methods, such as Zabusky-Kruskal scheme, hopscotch method, hop-scooter method, local scheme, global scheme, split step Fourier method, Tappert method, and pseudospectral method.

Journal ArticleDOI
TL;DR: In this article, numerical algorithms for surface tension and viscosity are presented in the context of a Lagrangian treatment of incompressible hydrodynamics with a dynamically restructuring grid.

Journal ArticleDOI
TL;DR: Pre- and postprocessing algorithms used to incorporate the fast Fourier transform into the solution of finite difference approximations to multi-dimensional Poisson's equation on a staggered grid where the boundary is located midway between two grid points are described.

Journal ArticleDOI
TL;DR: In this article, the authors investigate the effectiveness of second-and third-order boundary conditions based on one-way wave equations derived from various classes of approximants, and they show that these conditions perform best as numerical absorbing boundary conditions for a class of problems of interest in the simulation of electromagnetic wave propagation.

Journal ArticleDOI
TL;DR: In this article, the convergence of the vortex method applied to viscous, incompressible flow is demonstrated and the effect of the choice of numerical parameters on the accuracy of the computed solution is investigated.

Journal ArticleDOI
TL;DR: The generalization of Godunov’s method for systems of conservation laws is extended to second-order accuracy and to a finite volume method in two space dimensions and results in two dimensions show that this can be achieved.

Journal ArticleDOI
TL;DR: These algorithms extend the existing, methods for regular grids to grids consisting of non-equidistant convex four-point meshes, in order to obtain short CPU times and possible vectorization.

Journal ArticleDOI
Boris D. Lubachevsky1
TL;DR: The theoretical efficiency evaluation is encouraging: for 768 × 768 spins using a parallel processor with 256 processing elements, the estimated efficiency is not lower than 71%.

Journal ArticleDOI
TL;DR: In this paper, the cause of the ringing instability in particle-in-cell (PIC) fluid calculations is identified and its properties are studied, and it is shown that the instability growth rate is only weakly dependent on the number of particles per cell.

Journal ArticleDOI
TL;DR: The solution method is based on iterative defect correction, in which collective symmetric Gauss-Seidel relaxation is used as the smoothing procedure for second-order accurate discretizations of the 2D steady Euler equations.

Journal ArticleDOI
TL;DR: In this article, a numerical model of a low pressure parallel plate glow discharge is presented based on a selfconsistent formulation of the energy-momentum conservation equations for electrons, the continuity equations for both electrons and ions, and Poisson's equation.

Journal ArticleDOI
TL;DR: In this article, two stable numerical methods are presented to solve the self-induction equation of vortex theory, which are validated by comparison with known exact solutions, and the approximate solutions are shown to converge to the exact solution.

Journal ArticleDOI
TL;DR: In this article, two moving grid algorithms for the numerical integration of evolutionary one-dimensional partial differential equations are considered and the behavior of the discretizations employed is forecast by means of the modified equation technique and then studied in a series of numerical experiments.

Journal ArticleDOI
TL;DR: In this article, the Galerkin method is used to obtain a finite element solution to the Vlasov-Poisson equations over the two-dimensional ( x, v ) phase plane using bilinear element shape functions.

Journal ArticleDOI
TL;DR: In this article, an approximate Riemann solver is presented for the solution of the Euler equations of gas dynamics in three dimensions with a general equation of state, incorporating operator splitting and is applied to the problem of Mach 3 flow past a forward facing step for some specimen equations of state.

Journal ArticleDOI
TL;DR: In this article, computer simulation results are reported for the two-point matrix probability function S/sub 2/ of two-phase random media composed of disks distributed with an arbitrary degree of impenetrability.