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Showing papers in "Journal of Computational Physics in 1994"


Journal ArticleDOI
TL;DR: Numerical experiments and numerical comparisons show that the PML technique works better than the others in all cases; using it allows to obtain a higher accuracy in some problems and a release of computational requirements in some others.

9,875 citations


Journal ArticleDOI
TL;DR: A level set method for capturing the interface between two fluids is combined with a variable density projection method to allow for computation of two-phase flow where the interface can merge/break and the flow can have a high Reynolds number.

4,148 citations


Journal ArticleDOI
TL;DR: A new version of ENO (essentially non-oscillatory) shock-capturing schemes which is called weighted ENO, where, instead of choosing the "smoothest" stencil to pick one interpolating polynomial for the ENO reconstruction, a convex combination of all candidates is used.

3,023 citations


Journal ArticleDOI
TL;DR: In this paper, the SPH (smoothed particle hydrodynamics) method is extended to deal with free surface incompressible flows, and examples are given of its application to a breaking dam, a bore, the simulation of a wave maker, and the propagation of waves towards a beach.

2,889 citations


Journal ArticleDOI
TL;DR: In this article, the Navier-Stokes equation is solved using staggered finite differences on a MAC grid and a split-explicit time differencing scheme, while incompressibility is enforced using an iterative multigrid Poisson solver.

1,000 citations


Journal ArticleDOI
TL;DR: In this paper, a new ocean circulation model featuring an improved vertical coordinate representation is introduced, which is capable of simultaneously maintaining high resolution in the surface layer as well as dealing with steep and/or tall topography.

767 citations


Journal ArticleDOI
TL;DR: In this paper, a method for constructing boundary conditions (numerical and physical) of the required accuracy for compact (Pade-like) high-order finite-difference schemes for hyperbolic systems is presented.

728 citations


Journal ArticleDOI
Bo Strand1
TL;DR: In this article, the authors presented a multi-parameter family of difference operators when τ⩾3, where τ is the dimension of the difference operator and λ is the number of points in the difference matrix.

703 citations


Journal ArticleDOI
TL;DR: In this article, a numerical method for solving three-dimensional, time-dependent incompressible Navier-Stokes equations in curvilinear coordinates is presented, where the Cartesian velocity components and the pressure are defined at the center of a control volume, while the volume fluxes are defined on their corresponding cell faces.

669 citations


Journal ArticleDOI
TL;DR: In this article, a boundary integral time integration method is presented for computing the motion of fluid interfaces with surface tension in two-dimensional, irrotational, and incompressible fluids.

532 citations


Journal ArticleDOI
TL;DR: In this paper, a coupled level set method for the motion of multiple junctions is proposed, which retains the feature of tracking fronts by following level sets and allows the specification of arbitrary velocities on each front.

Journal ArticleDOI
TL;DR: In this paper, the effects of large computational time steps on the computed turbulence were investigated using a fully implicit method in turbulent channel flow computations and the largest computational time step in wall units which led to accurate prediction of turbulence statistics was determined.

Journal ArticleDOI
TL;DR: A class of numerical schemes on unstructured meshes for the numerical simulation of hyperbolic equations and systems is described and it is demonstrated that a higher order of accuracy is indeed obtained, even on very irregular meshes.

Journal ArticleDOI
TL;DR: In this paper, a non-conservative (primitive) Euler formulation is proposed, which results in complete elimination of the oscillations, using small viscous perturbations to remove leading order conservation errors.

Journal ArticleDOI
TL;DR: In this article, a 3D high-resolution MHD simulation scheme was developed for inhomogeneous systems, including strong background potential fields, based on the finite volume method (FVM) with an upwinding numerical flux by the linearized Riemann solver.

Journal ArticleDOI
TL;DR: The CAM-CL (current advance method and cyclic leapfrog) algorithm as discussed by the authors is a 2D hybrid simulation algorithm for hybrid plasma simulations, which treats the ions as particles and the electrons as massless fluid.

Journal ArticleDOI
William D. Henshaw1
TL;DR: In this article, a method is described to solve the time-dependent incompressible Navier-Stokes equations with finite differences on curvilinear overlapping grids in two or three space dimensions.

Journal ArticleDOI
TL;DR: In this article, the authors investigated the symplecticness of numerical integrators for constrained dynamics, such as occur in molecular dynamics when bond lengths are made rigid in order to overcome stepsize limitations due to the highest frequencies.

Journal ArticleDOI
Ami Harten1
TL;DR: Adapt multiresolution schemes for the computation of discontinuous solutions of hyperbolic conservation laws are presented and the data compression of the numerical solution is used in order to reduce the number of numerical flux evaluations.

Journal ArticleDOI
TL;DR: It is found that the conventional Barnes-Hut MAC can introduce potentially unbounded errors unless θ 3 , and that this behavior while rare, is demonstrable in astrophysically reasonable examples.

Journal ArticleDOI
TL;DR: Methods are presented for time evolution, steady-state solving and linear stability analysis for the incompressible Navier-Stokes equations at low to moderate Reynolds numbers, and a detailed implementation is described for a pseudospectral calculation of the stability of Taylor vortices with respect to wavy vorts in the Couette-Taylor problem.

Journal ArticleDOI
TL;DR: Several versions of a moving mesh method are developed based on a mesh spatial smoothing technique and on the moving mesh PDEs derived in a previous paper, which clearly demonstrate that the present methods are capable of accurately tracking rapid spatial and temporal transitions.

Journal ArticleDOI
TL;DR: A computer program for solving two-dimensional incompressible viscous fluid flow in general domains is described, based on the simplified Marker and cell technique, but it has a number of novel features.

Journal ArticleDOI
TL;DR: In this article, a Neumann-type vorticity boundary condition for the Navier-Stokes equations is proposed, where the no-slip condition is enforced by modifying the strength of the vortices in the vicinity of the boundary.

Journal ArticleDOI
TL;DR: The new procedure is shown empirically to significantly improve the acceptance rate for a test system of uncoupled oscillators and allows expectations to be estimated using data from all states in the windows, rather than just states that are accepted.

Journal ArticleDOI
TL;DR: In this paper, an approximate MHD Riamnn solver is presented which treats all waves emanating from the initial discontinuity as themselves discontinuous, and the solutions from this solver consist of two fast rarefaction waves, two slow shocks, one contact discontinuity, and one rotational discontinuity in the formalism.

Journal ArticleDOI
TL;DR: In this article, an extension of the piecewise parabolic method to treat multidimensional ideal magnetohydrodynamical equations is presented, based on a one-dimensional functioning code based on the dimensional splitting method originally suggested by Strang.

Journal ArticleDOI
TL;DR: The strong shock interaction test cases show the applicability of the gas-kinetic based hydrodynamic scheme to supersonic gas flow and some Navier-Stokes solutions are exhibited.

Journal ArticleDOI
TL;DR: In this paper, an unsplit upwind method for solving hyperbolic conservation laws in three dimensions is developed, by generalizing a two-dimensional advection algorithm of Van Leer and Colella to three dimensions and then making appropriate modifications.

Journal ArticleDOI
TL;DR: A general method for constructing finite difference schemes for longtime integration problems is presented and it is demonstrated for discretizations of first and second space derivatives; however, the approach is not limited to these cases.