Showing papers in "Computers & Fluids in 1994"

TL;DR: Methods to get natural upwind discretizations of the source term when the flux is approximated by using flux-difference or flux-splitting techniques are given.

TL;DR: An implicit, Navier-Stokes solution algorithm is presented for the computation of turbulent flow on unstructured grids using an upwind algorithm and a backward-Euler time-stepping scheme.

TL;DR: In this paper, the predictive capabilities of a range of eddy-viscosity and second-moment-closure models are examined by reference to a separated flow behind a backward-facing step in an expanding channel.

TL;DR: This paper describes an alternative approach for dealing with arbitrarily complex two-dimensional geometries, the so-called Cartesian boundary method, and presents a general strategy that overcomes obstacles and details of the successful conversion of an adaptive mesh algorithm from a body-fitted code to a Cartesian Boundary code.

TL;DR: The kinetic flux vector splitting (KFVS) method as mentioned in this paper was proposed for solving inviscid gas-dynamic problems, which utilizes the well-known connection that the Euler equations of motion are the moments of the Boltzmann equation whenever the velocity distribution function is a Maxwellian.

TL;DR: In this paper, the steady and transient deformation of a drop immersed in an ambient simple shear flow is studied in the limit of Stokes flow and the flow is examined as a function of the viscosity ratio λ between the drop and the suspending fluid, and the capillary number Ca.

TL;DR: In this article, a generalized form of the wave continuity equation was proposed to improve the stability of the Wave Continuity Simulation (WCS) algorithm for nonlinear applications, which significantly improved mass conservation and substantially reduced the errors in the generation of nonlinear tidal constituents.

TL;DR: In this article, the authors present a predictive numerical method which solves the full, three-dimensional, two-fluid model equations for dispersed two-phase flow by control volume discretization.

TL;DR: In this paper, conservative and non-conservative interpolation between overlapping grids for finite volume solutions of hyperbolic problems is proposed for finite-volume solutions of the problem of finding a solution to the problem.

TL;DR: In this paper, a robust numerical solver for the impulsively started flow past an arbitrary shaped body is described, where the boundary conditions at the body are satisfied with a panel method that uses a novel curved element.

TL;DR: In this paper, a physically consistent method for the reconstruction of velocity fluxes which arise from the mass and momentum balance discrete equations is presented, which allows the use of a cell-centered grid in which velocity and pressure unknowns share the same location, while circumventing the occurrence of spurious pressure modes.

TL;DR: In this paper, numerical solutions of unsteady, viscous, swirling flows that experience vortex breakdown in a pipe were obtained assuming rotational symmetry and frictionless flow at the pipe wall.

TL;DR: Fourth-order-accurate difference approximations for parabolic systems and for the incompressible Navier—Stokes equations and a general principle for deriving numerical boundary conditions for higher-orders-of-accuracy difference schemes are described.

TL;DR: In this paper, the centerline velocity profiles obtained from the solution of the two-and three-dimensional representations of the lid driven cavity flow problem are compared for different Reynolds numbers.

TL;DR: A numerical method to solve the incompressible, 3D Navier-Stokes and Boussinesq equations in primitive variable form on non-staggered, uniform and non-uniform grids is discussed in this paper.

TL;DR: In this paper, the flow in a trapezoidal cavity (including the rectangular and triangular cavities) with one moving wall is studied numerically by finite differences with special treatment in the corners.

TL;DR: In this article, a mathematical model is proposed for the steady two-dimensional flow of a viscous incompressible fluid past a cylinder which incorporates the details of the structure of the vorticity in this case where its behaviour is known.

TL;DR: Several numerical simulations of the transient flow of helium in an expansion tube are presented in an effort to identify some of the basic mechanisms which cause the noisy test flows seen in experiments as discussed by the authors, which can be characterized as either small amplitude, low frequency noise possibly introduced during shock compression or large amplitude, high frequency noise associated with the passage of the reflected head of the unsteady expansion.

TL;DR: An efficient spatial approach which includes a fourth-order finite difference technique on stretched and staggered grids, a fully implicit time-marching scheme, and a semi-coarsening multigrid method based on a modified form of distributive relaxation is developed for solving the transition problem.

TL;DR: In this paper, a mesh deformation method that maintains unstructured triangulations as nonoverlapped is discussed; it relies on a "spring" system combined with a "pseudo-pressure" penalty term.

TL;DR: In this paper, the accuracy and efficiency of numerical calculations of turbulent reacting flows past bluff bodies have been studied, and the influence of the grid resolution on the solution accuracy and the effects of the model parameters, boundary conditions and different reaction mechanisms are studied numerically.

TL;DR: In this article, vortex shedding in unsteady flow past a thin plate placed normal to the flow it studied using a Taylor-Galerkin/pressure-correction finite element algorithm is considered over restricted time periods starting from some initial steady state, eventually encountering a time after which vortices are shed, prior to the onset of regular periodic shedding.

TL;DR: In this paper, a boundary integral equation (BIE) formulation employing a suitable Green's function was used to solve the driven-cavity problem. But the authors did not consider the effect of introducing small leaks to replace the singularities, thus rendering the problem physically realizable.

TL;DR: In this article, the Navier-Stokes equations are formulated in terms of the velocity and pressure and the equations are transformed using a stretched logarithmic polar coordinate system which maps the physical domain onto a rectangular domain.

TL;DR: In this article, several approximate Riemann solvers were developed for solving the fluid flow equations in Lagrangian coordinates, where the overall solution procedure used here is Eulerian with a Lagrangians step followed by a remap to the original coordinates.

TL;DR: In this article, a grid refinement study of the time-periodic flow over a circular cylinder at Re = 200 is presented, where an efficient numerical solution method of the Navier-Stokes equations allowed the solution of the problem on several meshes up to 513 × 513 points.

TL;DR: A finite-analytic and a finite-difference based numerical method for solving the incompressible Navier-Stokes equations are described and their spatial resolution and overall performance are scrutinized through careful analysis of the discrete equations and numerical experimentation as mentioned in this paper.

TL;DR: In this article, the fate of artificially introduced vortex pairs in an otherwise two-dimensional turbulent boundary layer, with emphasis on the influence of streamwise surface curvature, was studied.

TL;DR: In this paper, a co-located equal-order control-volume-based finite element method (CVFEM) is proposed for the solution of two-fluid models of 2-D, planar or axisymmetric, incompressible, dilute gas-solid particle flows.

TL;DR: A new scheme for solving the large sparse unsymmetric systems of linear equations which arise from the application of the aerodynamic sensitivity equation to large two-dimensional as well as three-dimensional design optimization problems, which can be applied easily to complex-geometry problems which cannot be represented by single computational grids.