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Showing papers in "Journal of Computational Physics in 1989"


Journal ArticleDOI
TL;DR: Two methods of sharpening contact discontinuities-the subcell resolution idea of Harten and the artificial compression idea of Yang, which those authors originally used in the cell average framework-are applied to the current ENO schemes using numerical fluxes and TVD Runge-Kutta time discretizations.

5,292 citations


Journal ArticleDOI
TL;DR: This work extends earlier work on the efficient implementation of ENO (essentially non-oscillatory) shock-capturing schemes by providing a new simplified expression for the ENO constructio...

3,688 citations


Journal ArticleDOI
TL;DR: An automatic, adaptive mesh refinement strategy for solving hyperbolic conservation laws in two dimensions and how to organize the algorithm to minimize memory and CPU overhead is developed.

2,650 citations


Journal ArticleDOI
TL;DR: This paper presents a class of TVB (total variation bounded) discontinuous Galerkin finite element methods for solving conservation laws ut+Σi=1d(fi(u)xi=0.1d) using a 1-dimensional system as a model, and discusses different implementation techniques and theories analogous to scalar cases proven for linear systems.

1,421 citations


Journal ArticleDOI
TL;DR: In this paper, a second-order projection method for the Navier-Stokes equations is proposed, which uses a specialized higher-order Godunov method for differencing the nonlinear convective terms.

1,287 citations


Journal ArticleDOI
TL;DR: In this article, a method is described which prevents penetration when particle methods are used to simulate streams of fluid impinging on each other, but this method does not produce dissipation but it does produce extra dispersion.

709 citations


Journal ArticleDOI
TL;DR: In this paper, an exact non-reflecting boundary condition is devised for use in solving the reduced wave equation in an infinite domain, where the domain is made finite by the introduction of an artificial boundary on which this exact condition is imposed.

621 citations


Journal ArticleDOI
TL;DR: In this paper, the numerical solution of the 3D equations of motion of a viscous incompressible fluid that contains an immersed system of elastic fibers is described, and the method is applied to the damped vibrations of a fiber-wound toroidal tube.

465 citations


Journal ArticleDOI
TL;DR: In this article, the notion of subcell resolution is introduced, which is based on the observation that unlike point values, cell-averages of a discontinuous piecewise-smooth function contain information about the exact location of the discontinuity within the cell.

447 citations


Journal ArticleDOI
TL;DR: In this article, a theoretical method is described for assessing the accuracy of transport differencing schemes in highly scattering media with optically thick spatial meshes and numerical results are presented that demonstrate the validity and accuracy of the analysis.

326 citations


Journal ArticleDOI
TL;DR: In this article, a coordinate-free formulation of conservation laws is developed, which clearly distinguishes the role of physical vectors from that of algebraic vectors which characterize the system, and the analysis considers general types of equations: potential, Euler, and Navier-Stokes.

Journal ArticleDOI
TL;DR: In this paper, the linearized stability equations in cylindrical coordinates of a Chebyshev spectral collocation method for the temporal and spatial stability of swirling flows are solved with the eigenvalues obtained through the use of the QZ routine.

Journal ArticleDOI
TL;DR: An automatic adaptive refinement technique has been coupled to the multigrid approach to produce an efficient and stable solution strategy for solving the steady-state incompressible Navier-Stokes equations.

Journal ArticleDOI
TL;DR: An implicit finite element upwind schemes for solving Euler equations is presented, which is more efficient and robust than explicit time integration and higher rates of convergence are obtained.

Journal ArticleDOI
TL;DR: In this paper, the authors describe a fourth-order finite difference model of the equatorial ocean that is designed to study dynamic and thermodynamic processes on time scales of a decade or less.

Journal ArticleDOI
TL;DR: A new multigrid method for convection problems is presented, designed to overcome the problem of alignment, the flow being aligned with the grid, by employing semi-coarsening in several directions simultaneously.

Journal ArticleDOI
TL;DR: In this paper, an extension of higher order Godunov methods to general systems of hyperbolic conservation laws is described, which allows the method to be applied to problems that are not strictly hyper-bolic and exhibit local linear degeneracies in the wave fields.

Journal ArticleDOI
TL;DR: In this article, the spectral Fourier series is used to estimate the local fluid velocity at the instantaneous particle position, and various approximate methods are tested and comparisons made of both their accuracy and the computational effort required.

Journal ArticleDOI
TL;DR: In this article, the statistical properties of a model proposed by Dukowicz for calculating the dispersion of spray droplets due to turbulent gas motions are explored and the distributions of turbulent velocity and position changes are derived, making no assumptions concerning the relative magnitudes of the drag time, turbulence correlation time, and the time at which the distributions are evaluated.

Journal ArticleDOI
TL;DR: A new algorithm for implementing plasma particle-in-cell (PIC) simulation codes on concurrent processors with distributed memory, named the general concurrent PIC algorithm (GCPIC), has been used to implement an electrostatic PIC code on the 32-node JPL Mark III Hypercube parallel computer.

Journal ArticleDOI
TL;DR: In this paper, a method of obtaining compact finite-difference approximations of h4 accuracy to operators of Navier-Stokes type is considered, and the basic procedure is developed for operators in one space dimension and subsequently applied to problems in more space dimensions and in time.

Journal ArticleDOI
TL;DR: In this paper, an interpolation method for scalar functions on a rectangular grid on a planar surface is extended to the interpolation function on a closed three-dimensional triangulated surface of arbitrary shape.

Journal ArticleDOI
TL;DR: In this paper, a time-dependent relaxation technique for obtaining finite beta stellarator equilibria with no net current is described, where the computation grid is Eulerian corresponding to space-fixed non-orthogonal helical coordinates.

Journal ArticleDOI
TL;DR: In this paper, the authors describe the development of a 3D computer model of the heart from a fiber-wound toroidal tube immersed in a viscous incompressible fluid, where a wave of contraction propagates around the tube, and this results in peristaltic pumping of the internal fluid in the direction of the wave.

Journal ArticleDOI
TL;DR: In this article, an implicit algorithm for solving time-dependent, 2-dimensional magnetohydrodynamic equations is presented which consists of a multistep implicit scheme for discretizing the governing equations and the projected characteristic method for stipulating artificial boundary conditions.

Journal ArticleDOI
TL;DR: The influence matrix method of enforcing incompressibility in pseudospectral simulations of fluid dynamics, as described by Kleiser and Schumann for channel flow, is generalized to other geometries as mentioned in this paper.

Journal ArticleDOI
TL;DR: The nonsymmetric eigenvalue problem Ax = λBx is discussed with special emphasis on linear algebra theory, on algorithms implemented for solving large-scale systems, and on interpreting complex spectra obtained in applications from physics and engineering.

Journal ArticleDOI
TL;DR: In this paper, a generalized Riemann problem is introduced for the equations of reactive non-viscous compressible flow in one space dimension, where initial data are assumed to be linearly distributed on both sides of a jump discontinuity.

Journal ArticleDOI
TL;DR: In this paper, an adaptive atmospheric flow model is described and results of integrations with this model are presented, using a finite difference method to integrate the dynamical equations first on a coarse grid and then on finer grids which have been placed based on a Richardson-type estimate of the truncation error in the coarse grid solution.

Journal ArticleDOI
TL;DR: The equilibrium flux method as mentioned in this paper is a kinetic theory based finite volume method for calculating the flow of a compressible ideal gas, which is a natural upwinding scheme for the Euler equation.