We propose a simple numerical method for calculating both unsteady and steady state solution of hyperbolic system with geometrical source terms having concentrations. Physical problems under consideration include the shallow water equations with topography, and the quasi one-dimensional nozzle flows. We use the interface value, rather than the cell-averages, for the source terms, which results ...

An efficient algorithm is described for calculating stationary one-dimensional transonic outflow solutions of the compressible Euler equations with gravity and heat source terms. The stationary equations are solved directly by exploiting their dynamical system form. Transonic expansions are the stable manifolds of saddle-pointtype critical points, and can be obtained efficiently and accurately ...

We propose two simple well-balanced methods for hyperbolic system with geometrical source terms having concentrations. Physical problems under consideration include the shallow water equations with topography, and the quasi one-dimensional isothermal nozzle flows. These two methods use the numerical fluxes already obtained from the corresponding homogeneous systems in the source terms, and one ...

Aims. We present the basic equations and sample solutions for the steady-state global transonic solutions of the advection-dominated accretion flows (ADAFs) with causal viscosity prescription. The procedures of the stable numerical calculations and all explicit formula to obtain the solutions of ADAFs are also presented. Methods. We solve the transonic solutions of ADAFs by using the explicit n...

by Mohammed S. Kamel Reliable prediction of optical wavefront distortions induced by compressible turbulent flow surrounding an aperture is crucial to the development of airborne laser systems. Large-eddy simulation (LES) with a wall model provides a promising highfidelity simulation method for high-Reynolds-number aero-optical flows by avoiding the severe near-wall resolution requirement. In t...

Four turbulence models are described and evaluated for transonic flows using the upwind code CFL3D and the central-difference code TLNS3D. In particular, the effects of recent modifications to the half-equation model of Johnson-King are explored in detail, and different versions of the model are compared. This model can obtain good results for both two-dimensional (2–D) and three-dimensional (3...

A new flux splitting and limiting technique which yields one-point stationary shock capturing is presented. The technique is applied to the full NavierStokes and Reynolds Averaged Navier-Stokes equations. Calculations of laminar boundary layers at subsonic and supersonic speeds are presented together with calculations of transonic flows around airfoils. The results exhibit very good agreement w...

We present an efficient tool for the numerical simulation of high speed flows in two and threedimensional domains. The space discretization is carried out with the finite volume method on unstructured triangular and tetrahedral meshes. In order to achieve sufficiently accurate capturing of shock waves, we have applied the anisotropic mesh adaptation technique which seems to be very suitable for...

This paper presents an adjoint method for the optimum shape design of unsteady three-dimensional viscous flows. The goal is to develop a set of discrete unsteady adjoint equations and the corresponding boundary condition for the non-linear frequency domain method. First, this paper presents the complete formulation of the time dependent optimal design problem. Second, we present the non-linear ...

This paper presents asymptotically stable schemes for patching of nonoverlapping subdomains when approximating the compressible Navier–Stokes equations given on conservation form. The scheme is a natural extension of a previously proposed scheme for enforcing open boundary conditions and as a result the patching of subdomains is local in space. The scheme is studied in detail for Burgers’s equa...