Showing papers in "Journal of Computational Physics in 2003"

TL;DR: In this paper, the authors present a new algorithm to model the input uncertainty and its propagation in incompressible flow simulations, which is represented spectrally by employing orthogonal polynomial functionals from the Askey scheme as trial basis to represent the random space.

TL;DR: In this article, an implementation of the smoothed particle hydrodynamics (SPH) method is presented to treat two-dimensional interfacial flows, that is, flow fields with different fluids separated by sharp interfaces.

TL;DR: An adaptive mesh projection method for the time-dependent incompressible Euler equations is presented and second-order convergence in space and time is demonstrated on regular, statically and dynamically refined grids.

TL;DR: In this article, the authors present a new approach for generating artificial velocity data which reproduces first and second order one point statistics as well as a locally given autocorrelation function.

TL;DR: The MSFV method efficiently captures the effects of small scales on a coarse grid, is conservative, and treats tensor permeabilities correctly, and leads to a multi-point discretization scheme for the finite-volume solution algorithm.

TL;DR: An efficient ghost-cell immersed boundary method (GCIBM) for simulating turbulent flows in complex geometries is presented in this article, where a boundary condition is enforced through a ghost cell method.

TL;DR: In this paper, the authors present a method for coupling molecular dynamics (MD) and continuum mechanics simulations that is based on the projection of the MD solution onto the coarse scale shape functions.

TL;DR: In this paper, a family of acoustic perturbation equations for the simulation of flow-induced acoustic fields in time and space is derived, which are excited by source terms determined from a simulation of the compressible or the incompressible flow problem.

TL;DR: In this article, a symmetry-preserving discretization of the Navier-Stokes equations is shown to be stable on any grid, and conserves the total mass, momentum and kinetic energy.

TL;DR: In this article, the numerical solution of the time-dependent Gross-Pitaevskii equation (GPE) describing a Bose-Einstein condensate (BEC) at zero or very low temperature is studied.

TL;DR: In this article, a coupled level set/volume of fluid method for computing growth and collapse of vapor bubbles is presented, where the liquid is assumed incompressible and the vapor is assumed to have constant pressure in space, and second order algorithms are used for finding "mass conserving" extension velocities, discretizing the local interfacial curvature and also for discretization of the cell-centered projection step.

TL;DR: In this article, a semi-implicit discretization for the convective Cahn-Hilliard equation with high-resolution schemes employed for direct numerical simulations of turbulence is proposed.

TL;DR: In this article, a lattice Boltzmann method is proposed to treat moving boundary problems for solid objects moving in a fluid, based on the simple bounce-back boundary scheme and interpolations.

TL;DR: This paper presents a Lagrangian integration point finite element method designed specifically to tackle the large deformation simulations of geomaterials and presents benchmark examples taken from the geomechanics area.

TL;DR: In this article, an anisotropic, unstructured grid adaptive method is presented for improving the accuracy of functional outputs of viscous, compressible flow simulations for general discretizations.

TL;DR: In this article, a necessary and sufficient condition for the stability of the perfectly-matched layers (PML) model for a general hyperbolic system is derived from the geometrical properties of the slowness diagrams.

TL;DR: In this article, a virtual boundary method is applied to the numerical simulation of a uniform flow over a cylinder, where the immersed boundary is represented with a finite number of Lagrangian points, distributed over the solid-fluid interface.

TL;DR: In this paper, a high-order compact method for large eddy simulation (LES) of compressible turbulent flows is presented, which is applicable to the conservative form of the governing equations, thereby allowing total energy conservation.

TL;DR: In this article, a conservative hybrid compact-WENO scheme for shock-capturing calculation is proposed and the hybrid scheme is considered as the weighted average of two sub-schemes: the conservative compact scheme proposed by Pirozzoli and the WENO Scheme.

TL;DR: It is found that the original ghost fluid method (GFM) does not work consistently and efficiently using isentropic fix when applied to a strong shock impacting on a material interface, and a modified GFM is proposed and developed for greater robustness and consistency.

TL;DR: In this article, the statistical error due to finite sampling in the presence of thermal fluctuations in molecular simulation algorithms is analyzed and the errors depend on Mach number, Knudsen number, number of particles, etc.

TL;DR: In this article, the authors address the issue of numerical resolution and efficiency of high order weighted essentially nonoscillatory (WENO) schemes for computing solutions containing both discontinuities and complex solution features, through two representative numerical examples.

TL;DR: In this article, the numerical errors in large-eddy simulations (LES) arise from aliasing and discretization errors, and errors in the subfilter-scale (SFS) turbulence model.

TL;DR: In this paper, the authors proposed a class of schemes that are able to converge to the correct solution even when shock waves interact with volume fraction discontinuities, by discretizing the compressible two-phase hyperbolic model.

TL;DR: In this paper, the authors present an efficient method for solving 2D incompressible viscous flows around multiple moving objects using an underlying regular Cartesian grid to solve the system using a streamfunction-vorticity formulation and with discontinuities representing the embedded objects.

TL;DR: In this article, a time-explicit, Eulerian numerical scheme for the solution of the nonlinear gyrokinetic-Maxwell equations is presented, where the treatment of electrons is fully drift-kinetic, transverse electromagnetic fluctuations are included, and profile variation is allowed over an arbitrary radial annulus.

TL;DR: In this article, an improved version of the original Roe's Flux Difference Splitting (FDS) scheme is proposed to solve the problem of expansion shock and numerical instability in the expansion region without sacrificing the exact capturing of contact discontinuity.

TL;DR: In this article, a Fourier-Chebyshev Petro-Galerkin spectral method is described for high-accuracy computation of linearized dynamics for flow in an infinite circular pipe.

TL;DR: In this article, the numerical properties of partial differential equations of fractional order α, 1 ≤ α ≤ 2, are studied and two numerical schemes, an explicit and a semi-implicit one, are used in solving these equations.

TL;DR: In this article, a new non-reflecting boundary scheme is proposed for time-dependent wave problems in unbounded domains, which is based on a reformulation of the sequence of NRBCs proposed by Higdon.