Semi-implicit finite-difference simulation of laminar hypersonic flow over blunt bodies

Riedelbauch, S.; Müller, Bernhard; Kordulla, W.

doi:10.1007/3-540-51048-6_81

Cited by 1 publication

(4 citation statements)

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“…The present numerical simulations of viscous continuum hypersonic flows are based on the integration of the time-dependent thin-layer Navier-Stokes equations with the well-known form (Riedelbauch and MUller, 1987) aij aE aF ac 1 as -+ -+ -+ -= ---aT a~a7J at Re oo • L at for general curvilinear structured coordinates, see fig. 2.…”

Section: Governing Equationsmentioning

confidence: 99%

“…For flows with perfect gases the viscosity coefficient is calculated from the Sutherland law, and the thermal conductivity is calculated by assuming the Prandtl number to be constant (Riedelbauch and MUller, 1987).…”

Section: Governing Equationsmentioning

confidence: 99%

“…In surface-tangential direction the integration is explicit at the expense of time-step limitations if a very fine grid is required in the surface-tangential direction. The advantage of the approach is simplicity and small storage requirements, (Riedelbauch and Muller, 1987). Since primarily steady-state solutions are sought for, the time integration is only first-order accurate.…”

Section: Integration Schemesmentioning

confidence: 99%

“…For simple convex blunt body shapes, i.e. flows without strong embedded shock waves, the solutions are obtained easily (Riedelbauch and Muller, 1987). However, the convergence is reduced in the case of long slender bodies at larger angle of attack because, as is well known, the downstream portion of the leeward flow field converges slowest.…”

Section: Shock-fitting Versus Shock-capturing Simulationsmentioning

confidence: 99%

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Hypersonic viscous flow simulations

Kordulla¹,

Riedelbauch²,

Brenner³

et al. 1992

Fluid Dyn. Res.

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Computational work in continuum hypersonics and, in particular, the difficulties encountered during the development of the methods at the DLR Institute for Theoretical Fluid Mechanics are presented. Finite-difference schemes with implicit-explicit central discretisation and shock fitting and with upwind-TVD formulation and shock capturing are discussed. c.g., for strong shock--shock interactions. 3D flows of perfect gas at large angle of attack are considered, including those with radiation-adiabatic surface boundary conditions. 2D or axisymmetric as well as 3D tlows in thermochemical equilibrium are simulated using either the Tannehill curve-fitting approach for air or the minimization procedure for Gibbs' free energy which is more general at the expense of larger cost. Nonequilibrium tlow simulations are discussed for axisymmetric nitrogen and air model tlows. With the help of an appropriate model equation for finite-rate chemistry it is shown that the usual Harten-Yee approach does not allow to propagate shock waves in a time-accurate fashion if large source terms are present.

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Section: Governing Equationsmentioning

confidence: 99%

Section: Governing Equationsmentioning

confidence: 99%

Section: Integration Schemesmentioning

confidence: 99%

Section: Shock-fitting Versus Shock-capturing Simulationsmentioning

confidence: 99%

See 2 more Smart Citations