Showing papers in "Journal of Computational Physics in 2000"

TL;DR: It is proved that a scalar version of the high-resolution central scheme is nonoscillatory in the sense of satisfying the total-variation diminishing property in the one-dimensional case and the maximum principle in two-space dimensions.

TL;DR: In this paper, a second-order accurate, highly efficient method is developed for simulating unsteady three-dimensional incompressible flows in complex geometries, which is achieved by using boundary body forces that allow the imposition of the boundary conditions on a given surface not coinciding with the computational grid.

TL;DR: In this article, a coupled level set/volume-of-fluid (CLSVOF) method was proposed for computing 3D and axisymmetric incompressible two-phase flows.

TL;DR: In this paper, a class of numerical schemes that are higher-order extensions of the weighted essentially non-oscillatory (WENO) schemes of G.-S. Jiang and C.-W. Shu (1996) and X.-D. Liu, S. Osher, and T. T. Chan (1994) are presented.

TL;DR: An algorithmic approach to the boundary design of elastic structures which allows one to rapidly solve the two-dimensional Lam� equations in arbitrary domains and compute, for example, the stresses, and to develop a systematic way of modifying the design to optimize chosen properties.

TL;DR: Based on a large number of tests, the projection scheme, one of the new central difference based schemes, and the constrained transport schemes are found to be the most accurate and reliable among the examined methods.

TL;DR: In this article, a second-order accurate immersed boundary method is presented and tested and applied to simulate the flow past a circular cylinder and study the effect of numerical viscosity on the accuracy of the computation.

TL;DR: In this paper, it is shown how the tensile instability in smoothed particle hydrodynamics can be removed by using an artificial stress which, in the case of fluids, is an artificial pressure.

TL;DR: The Ghost Fluid Method (GFM) as discussed by the authors was developed to capture the boundary conditions at a contact discontinuity in the inviscid Euler equations and has been extended to treat more general discontinuities such as shocks, detonations, and deflagrations and compressible viscous flows.

TL;DR: This work shows how the no-time-counter (NTC) method can be extended for the general case of varying numbers of droplets per parcel and produces a method of calculating spray droplet collisions that is both faster and more accurate than the current standard method of O'Rourke.

TL;DR: In this article, a numerical method for simulation of flows with mass transfer due to changes of phase is presented, where the authors use a volume of fluid (VOF) based interface tracking method in conjunction with a mass transfer model and a model for surface tension.

TL;DR: The implementation and development of a new Taylor?Galerkin finite-element scheme within an unstructured/hybrid, parallel solver for unsteady LES is described, which is third-order in space and time and has a low dissipative error.

TL;DR: In this paper, the authors introduced the weighted technique in compact high-order nonlinear schemes (CNS) and three fourth and fifth-order weighted compact nonlinear scheme (WCNS) were developed by Fourier analysis.

TL;DR: The new method is a modification of the algorithm which makes use of the PDE equation for the distance function introduced by M. Sussman, P. Smereka, and S. Osher and provides first-order accuracy for the signed distance function in the whole computational domain, and second- order accuracy in the location of the interface.

TL;DR: In this paper, a Boltzmann BGK model without compressible effect is designed for simulating incompressible flows, and the Navier-Stokes equations are exactly recovered from this model.

TL;DR: A new optimization principle is presented that is particularly suited for more complex optimization problems (“discontinuous” ones, problems with hard-to-find admissible solutions, Problems with complex objectives or many constraints).

TL;DR: A linearized implicit scheme for computing stationary solutions of the discrete-velocity BGK and BGK-ES models is developed, which is the basis of a code which can compute high altitude hypersonic flows, in 2D plane and axisymmetric geometries.

TL;DR: In this article, three athermal 3D LBE models (Q15D3, Q19D3 and Q27D3) are compared in terms of efficiency, accuracy, and robustness.

TL;DR: In this article several techniques allowing one to reduce the constant C are analyzed, which implies a lower total CPU time and a larger range of application of the fast multipole method.

TL;DR: A new method for incorporating Gauss' law into non-stationary electromagnetic simulation codes is developed, starting from a constrained formulation of the Maxwell equations and the resulting system is hyperbolic, and the divergence errors propagate with the speed of light to the boundary of the computational domain.

TL;DR: The “built-in” de-aliasing property of the discretized skew-symmetric form for the non-linear terms of the Navier?Stokes equations is taken as a starting point and it is confirmed that the use of a high-order scheme improves the results, even in this type of steady applications.

TL;DR: In this paper, a method for treating the coordinate singularity whereby singular coordinates are redefined so that data are differentiated smoothly through the pole, and avoiding placing a grid point directly at the pole is proposed.

TL;DR: It is shown that with certain choices of the velocity interpolation, unstructured staggered mesh discretizations of the divergence form of the Navier?Stokes equations can conserve kinetic energy and momentum both locally and globally.

TL;DR: The strength of the new method is that it can be easily extended to the whole class of second-generation wavelets, leaving the freedom and flexibility to choose the wavelet basis depending on the application.

TL;DR: In this paper, the authors considered the computational problems arising when a linear interface cuts a cube and gave explicit expressions of general use for cubic roots, and the algorithms used to search for solutions.

TL;DR: In this article, the effect of the additional terms arising from the modelling of bed slope and breadth variation is considered and a discretisation is constructed in a manner which retains an exact balance between the flux gradients and the source terms when this is appropriate.

TL;DR: In this paper, a spectral vanishing viscosity (SVV) approach is proposed for high Reynolds number turbulent flows, combining concepts of monotonicity in nonlinear conservation laws with concepts of largeeddy simulation.

TL;DR: In this paper, a finite element projection method for the computation of incompressible viscous flows of nonuniform density was proposed, which consists in factorizing the density variable partly outside and partly inside the time evolution operator in the momentum equation to prevent spatial discretization errors in the mass conservation to affect the kinetic energy balance of the fluid.

TL;DR: In this article, an error estimation and grid adaptive strategy is presented for estimating and reducing simulation errors in functional outputs of partial differential equations, based on an adjoint formulation in which the estimated error in the functional can be directly related to the local residual errors of both the primal and adjoint solutions.