Showing papers in "Journal of Computational Physics in 1998"

TL;DR: In this paper, the Runge?Kutta discontinuous Galerkin method for numerically solving hyperbolic conservation laws is extended to multidimensional nonlinear systems of conservation laws.

TL;DR: The method is tested by testing its ability to track interfaces through large, controlled topology changes, whereby an initially simple interface configuration is subjected to vortical flows, and numerical results for these strenuous test problems provide evidence for the algorithm's improved solution quality and accuracy.

TL;DR: In this article, a method for generating three-dimensional, time-dependent turbulent inflow data for simulations of complex spatially developing boundary layers is described, which is essentially a variant of the Spalart method, optimized so that an existing inflow?outflow code can be converted to an inflow-generation device through the addition of one simple subroutine.

TL;DR: A novel lattice Boltzmann thermal model is proposed for studying thermohydrodynamics in incompressible limit that can incorporate viscous heat dissipation and compression work done by the pressure, in contrast to the passive-scalar-based thermal latticeboltzmann models.

TL;DR: In this paper, the conservation properties of the mass, momentum, and kinetic energy equations for incompressible flow are specified as analytical requirements for a proper set of discrete equations, and finite difference schemes for regular and staggered grid systems are checked for violations of the conservation requirements and a few important discrepancies are pointed out.

TL;DR: In this paper, a variant of the wave propagation algorithm is developed which addresses this problem by introducing a Riemann problem in the center of each grid cell whose flux difference exactly cancels the source term.

TL;DR: A local second-order grid refinement scheme for the lattice?BGK model is proposed and a boundary-fitting scheme for complicated geometries are applied to simulate a benchmark problem of flow past a cylinder in a channel with small and moderate Reynolds numbers.

TL;DR: In this article, an extension of the discontinuous Galerkin method for numerical solution of diffusion problems is presented, which involves a weak imposition of continuity conditions on the solution values and on fluxes across interelement boundaries within each element.

TL;DR: In this article, the authors present a method for solving the equations governing time-dependent, variable density incompressible flow in two or three dimensions on an adaptive hierarchy of grids.

TL;DR: A numerical method for solving Poisson's equation, with variable coefficients and Dirichlet boundary conditions, on two-dimensional regions using a finite-volume discretization, which embeds the domain in a regular Cartesian grid.

TL;DR: In this paper, a class of filters for large eddy simulations of turbulent inhomogeneous flows is presented and a general set of rules for constructing discrete filters in complex geometry is given and examples of such filters are presented.

TL;DR: In this paper, a highly efficient numerical approach based on multigrid and preconditioning methods is developed for modeling 3D steady and time-dependent incompressible flows.

TL;DR: In this article, it is shown how conservation of total energy can be utilized as an intermediate device to achieve this goal for the equations of fluid dynamics written in Lagrangian form, with a staggered spatial placement of variables for any number of dimensions and in any coordinate system.

TL;DR: In this article, a review of MPDATA, a class of methods for the numerical simulation of fluid flows based on the sign-preserving properties of upstream differencing, is presented.

TL;DR: In this article, the weighted ENO (essentially nonoscillatory) scheme developed for the one-dimensional case by Liu, Osher, and Chan is applied to the case of unstructured triangular grids in two space dimensions.

TL;DR: In this paper, a shock-capturing approach to multicomponent flow problems is developed for the compressible Euler equations with a stiffened gas equation of state in multiple space dimensions.

TL;DR: In this article, a high-order shock-fitting finite-difference method for the DNS of the stability and transition of hypersonic boundary layers over blunt bodies with strong bow shocks and with (or without) thermo-chemical nonequilibrium is presented.

TL;DR: In this article, a fully threaded tree (FTT) for adaptive mesh refinement (AMR) of regular meshes is described, which uses a tree threaded at all levels, so that tree traversals for finding nearest neighbors are avoided.

TL;DR: This work shows how to solve time-harmonic scattering problems by means of a high-order Nystrom discretization of the boundary integral equations of wave scattering in 2D and 3D using a new method enhanced by local corrections to the discretized kernel.

TL;DR: In this paper, the Lagrange approach is used to define reduced bases and the basis functions in this approach are obtained from the numerical solutions, and the feasibility of this method for flow control is demonstrated on boundary control problems in closed cavity and wall-bounded channel flows.

TL;DR: In this article, a numerical modeling of insect flight is addressed by using a time accurate solution of the three-dimensional, incompressible, laminar Navier?Stokes equations.

TL;DR: The numerical results obtained indicate that the use of the GMRES+LU-SGS method leads to a significant increase in performance over the best current implicit methods, GM RES+ILU and LU-S GS, while maintaining memory requirements similar to its explicit counterpart.

TL;DR: An additive semi-implicit projection scheme for the simulation of unsteady combustion in two dimensions is constructed in this paper, which relies on a zero-Mach number formulation of the compressible conservation equations with detailed chemistry.

TL;DR: It turns out that computing the exponential of strictly elliptic operators in the wavelet system of coordinates yields sparse matrices (for a finite but arbitrary accuracy) and this observation makes the approach practical in a number of applications.

TL;DR: In this article, the authors present a new formulation of the artificial viscosity concept and a set of criteria that any proper functional form of the Artificial Viscosity should satisfy, including dissipative, transferring kinetic energy into internal energy and never acting as a false pressure.

TL;DR: Numerical schemes which discretize the Hamilton?Jacobi (H-J), level set, and Eikonal equations on triangulated domains are presented, and a class of Petrov?Galerkin approximations for homogeneous Hamiltonians is considered.

TL;DR: In this article, a three-point combined compact difference (CCD) scheme was developed for numerical models, which is more compact and more accurate than normal compact difference schemes, due to its combination of the first and second derivatives.

TL;DR: In this paper, effective boundary conditions or wall laws are proposed for a laminar flow over a rough wall with periodic roughness elements, which allows the details of the wall to be avoided and dramatically reduces the computational cost.

TL;DR: In this paper, a finite difference-based lattice Boltzmann method (FDLBM) in curvilinear coordinates is explored using body-fitted coordinates with non-uniform grids.