NASA Technical Reports Server (NASA) · 1981 · 11 citations · 0 references
Natural SciencesAerospace EngineeringMathematicsComputational Fluid DynamicsDifferential EquationsFluid DynamicsBoundary ConditionsFinite Difference MethodsPartial Differential EquationsShock CapturingShock WavesSubsonic AerodynamicsCharacteristic Boundary ConditionsEuler EquationsFinite Difference DiscretizationFinite Difference SchemesInflow Boundary ConditionsShock-boundary Layer InteractionSupersonic FlowSupersonic Flow Shocks
The boundary conditions are demonstrated for the quasi-one-dimensional Euler equations with the extension to two and three dimensions being straightforward. In this application an implicit finite-difference scheme is employed with the boundary conditions being applied implicitly. The boundary application uses both characteristic extrapolations and evaluations which distinguishes it from other theories. Flow fields with shocks are calculated with inflow-outflow conditions of supersonic-subsonic and subsonic-subsonic flow.