Hybrid finite volume approach to Euler solutions for supersonic flows

A new efficient numerical scheme is presented to solve the Euler equations about three-dimensional surfaces for supersonic flows. The approach utilizes a node-centered, physical space, finite-volume, central-difference scheme with added dissipation that is applied to the crossflow plane terms of the Euler equations. The discretized unsteady Euler equations are then solved by multistage Runge-Kutta integration with local time stepping and residual smoothing to accelerate convergence to a steady state. Three-dimensional flows are treated using an upwind finite-difference scheme for the nonconical terms within the context of a fully implicit marching technique on spherical surfaces. Results for both conical and three-dimensional flows are presented.

[1]  A. Jameson,et al.  Numerical solution of the Euler equations by finite volume methods using Runge Kutta time stepping schemes , 1981 .

[2]  Richard M. Wood,et al.  Comparison of computations and experimental data for leading edge vortices - Effects of yaw and vortex flaps , 1986 .

[3]  F. Marconi.  Supersonic conical separation due to shock vorticity , 1984 .

[4]  R. M. Wood,et al.  Leeside flows over delta wings at supersonic speeds , 1984 .

[5]  William H. Mason,et al.  Pressure and force data for a flat wing and a warped conical wing having a shockless recompression at Mach 1.62 , 1981 .

[6]  William H. Mason,et al.  A supersonic maneuver wing designed for nonlinear attached flow , 1983 .

[7]  James L. Thomas,et al.  Computation of leading-edge vortex flows , 1986 .

[8]  M. Lamb,et al.  Body-surface pressure data on two monoplane-wing missile configurations with elliptical cross sections at Mach 2.50 , 1983 .

[9]  R. W. Newsome.  A comparison of Euler and Navier-Stokes solutions for supersonic flow over a conical delta wing , 1985 .

[10]  A. Rizzi,et al.  Computation of flow around wings based on the Euler equations , 1984, Journal of Fluid Mechanics.

[11]  Earll M. Murman,et al.  High Resolution Solutions of the Euler Equations for Vortex Flows , 1985 .

[12]  W. K. Anderson,et al.  Comparison of Finite Volume Flux Vector Splittings for the Euler Equations , 1985 .

[14]  Robert W. Walters,et al.  Implicit flux-split schemes for the Euler equations , 1985 .

[15]  Antony Jameson,et al.  Transonic flow calculations for aircraft , 1985 .