An efficient shock capturing scheme for the pseudo-unsteady equations representing steady inviscid flow

A Composite Finite Difference Scheme for Subsonic Transonic Flows (RESEARCH NOTE).

This paper presents a simple and computationally-efficient algorithm for solving steady two-dimensional subsonic and transonic compressible flow over an airfoil. This work uses an interactive viscous-inviscid solution by incorporating the viscous effects in a thin shear-layer. Boundary-layer approximation reduces the Navier-Stokes equations to a parabolic set of coupled, non-linear partial diff...

A hybrid method for unsteady inviscid fluid flow

We show how a stable and accurate hybrid procedure for fluid flow can be constructed. Two separate solvers, one using high order finite difference methods and another using the node-centered unstructured finite volume method are coupled in a truly stable way. The two flow solvers run independently and receive and send information from each other by using a third coupling code. Exact solutions t...

UNSFLO : A Numerical Method For Unsteady Inviscid Flow In Turbomachinery

Construction of axisymmetric steady states of an inviscid incompressible fluid by spatially discretized equations for pseudo-advected vorticity

Here, p(: Ω→ R) is the pressure, ∂Ω is the boundary, and n is the unit outward normal vector on ∂Ω. In the axisymmetric case, the existence of solutions to (1.2) was discussed as the problem of vortex rings in, for example, [2, 4, 5, 8]. Their methods were based on a variational principle for kinetic energy. By contrast, Vallis et al. [13] proposed a completely different approach to the solvabi...

Modified Weighted Compact Scheme for Shock Capturing

It is critical for a numerical scheme to obtain numerical results as accurate as possible with limited computational resources. Turbulent processes are very sensitive to numerical dissipation, which may dissipate the small length scales. On the other hand, dealing with shock waves, capturing and reproducing of the discontinuity may lead to non-physical oscillations for non-dissipative schemes. ...