Showing papers in "Journal of Computational Physics in 1996"

TL;DR: A new way of measuring the smoothness of a numerical solution is proposed, emulating the idea of minimizing the total variation of the approximation, which results in a fifth-order WENO scheme for the caser= 3, instead of the fourth-order with the original smoothness measurement by Liuet al.

TL;DR: In this paper, a coupled level set method for the motion of multiple junctions (of, e.g., solid, liquid, and grain boundaries), which follows the gradient flow for an energy functional consisting of surface tension and bulk energies, is developed.

TL;DR: In this paper, the theory of the perfectly matched layer is generalized to three dimensions and some numerical experiments are shown to illustrate the efficiency of this new method of free-space simulation, referred to as PML.

TL;DR: AUSM+ as discussed by the authors improves the AUSM by exact resolution of 1D contact and shock discontinuities, positivity preserving of scalar quantity such as the density, free of the carbuncle phenomenon, and free of oscillations at the slowly moving shock.

TL;DR: Eulerian finite difference methods based on a level set formulation derived for incompressible, immiscible Navier?Stokes equations are proposed and are capable of computing interface singularities such as merging and reconnection.

TL;DR: In this paper, the authors investigated accurate and efficient time advancing methods for computational acoustics, where nondissipative and nondispersive properties are of critical importance, and proposed low-dissipation and low-dispersion Runge?Kutta (LDDRK) schemes, based on an optimization that minimizes the dissipation and dispersion errors for wave propagation.

TL;DR: In this article, a new numerical scheme for computing multicomponent flows is presented, which is able to handle strong shocks, is pressure oscillation free through the contact discontinuities, and guarantees the posi_tivity of mass fractions.

TL;DR: In this article, a finite-difference scheme for direct simulation of the incompressible time-dependent three-dimensional Navier-Stokes equations in cylindrical coordinates is presented.

TL;DR: In this article, a formalism for analyzing errors in nonlinear problems is developed in the context of finite difference approximations for the Navier?Stokes equations when the flow is fully turbulent.

TL;DR: In this paper, a class of upwindbiased finite-difference schemes with a compact stencil is proposed in general form, suitable for the time-accurate direct numerical simulation of fluid-convection problems.

TL;DR: In this article, a virtual boundary technique is applied to the numerical simulation of stationary and moving cylinders in uniform flow, which readily allows the imposition of a no-slip boundary within the flow field by a feedback forcing term added to the momentum equations.

TL;DR: In this article, a new gridding technique for the solution of partial differential equations in spherical geometry is presented, based on a decomposition of the sphere into six identical regions, obtained by projecting the sides of a circumscribed cube onto a spherical surface.

TL;DR: In this article, a perfectly matched layer (PML) is proposed for absorbing out-going two-dimensional waves in a uniform mean flow, governed by linearized Euler equations, and the theoretical reflection coefficients at an interface between the Euler and PML domains are zero, independent of the angle of incidence and frequency of the waves.

TL;DR: In this article, the stability of perturbations of the particle populations linearized about equilibrium values corresponding to a constant-density uniform mean flow was analyzed for a subset of the parameter space for a 7-velocity hexagonal lattice.

TL;DR: In this article, the Broyden update of the inverse Jacobian is shown to be superior to updating the Jacobian itself, and the Anderson mixing and Broyden updating are shown to cancel out each other.

TL;DR: A new lattice Boltzmann algorithm is proposed to simulate the Navier?Stokes equation on arbitrary nonuniform mesh grids and the results are in excellent agreement with previous experimental and numerical results.

TL;DR: In this paper, a front-tracking method is presented to simulate time dependent two-dimensional dendritic solidification of pure substances, based on a finite difference approximation of the heat equation and explicit tracking of the liquid?solid interface.

TL;DR: Two versions of flux corrected transport and two versions of total variation diminishing schemes are tested for several one-and two-dimensional hydrodynamic and magnetohydrodynamic problems.

TL;DR: An implicit code for computing inviscid and viscous incompressible flows on unstructured grids is described and results are compared with an exact solution for theInviscid flow over a four-element airfoil.

TL;DR: This paper describes a new concept for the implementation of the direct simulation Monte Carlo (DSMC) method that uses a localized data structure based on a computational cell to achieve high performance, especially on workstation processors, which can also be used in parallel.

TL;DR: Several explicit methods are proposed for generating global orthogonal curvilinear grids for ocean modelling based on the conformal properties of stereographic and Mercator map projections and have been developed with the specific object of removing the North Pole from the ocean domain.

TL;DR: This paper considers several situations in which Roe's scheme gives incorrect results and proposes an alternative flux formula that produces numerical approximations in which the pathological behavior is either eliminated or reduced to computationally acceptable levels.

TL;DR: This article introduces a modification of higher order Godunov methods that possesses the correct asymptotic behavior, allowing the use of coarse grids (large cell Peclet numbers) and builds into the numerical scheme the asymPTotic balances that lead to this behavior.

TL;DR: In this paper, two discretization methods for control-volume formulations on quadrilateral grids in two space dimensions are proposed for any system of conservation laws where the flux is defined by a gradient law for porous-media flow.

TL;DR: In this article, the boundary condition for vorticity, an efficient time-stepping procedure, and the relation between these schemes and the ones based on velocity?pressure formulation are discussed.

TL;DR: In this article, the results of several numerical simulations of vortex dynamics in type-II superconductors are described, and the underlying mathematical model is the time-dependent Ginzburg?Landau model.

TL;DR: In this article, a nonlinear adaptive nonreflecting boundary condition (NRBC) was proposed to further reduce the wave reflection error at far fields in the numerical simulation of wave dominated problems.

TL;DR: The coefficients of up to third-order accurate additive semi-implicit Runge?Kutta methods have been derived such that the methods are both high- order accurate and strongly A-stable for the implicit terms.

TL;DR: A B-spline based numerical method on a zonal embedded grid aimed at reducing the computational requirements for large eddy simulations (LES) and direct numerical simulations (DNS) of wall-bounded turbulent flows.

TL;DR: In this paper, an implicit, pseudo-solid domain mapping technique is described that facilitates finite element analysis of free and moving boundary problems, based on an implicit full-Newton strategy, free of restrictions on mesh structure.