ResearchWorks Archive

Numerical simulation of unsteady hypersonic chemically reacting flow

Show simple item record Taflin, David E en_US 2009-10-07T00:39:55Z 2009-10-07T00:39:55Z 1995 en_US
dc.identifier.other b35979343 en_US
dc.identifier.other 35247387 en_US
dc.identifier.other Thesis 44297 en_US
dc.description Thesis (Ph. D.)--University of Washington, 1995 en_US
dc.description.abstract The goal of this research is to develop and evaluate a new algorithm for the numerical solution of the axisymmetric Navier-Stokes equations for unsteady hypersonic flow with chemically reacting gas species. The LU-SGS algorithm with a diagonal approximation to the chemical source Jacobian is extended to encompass a logarithmic form of the species conservation equations. It is then further extended to allow time-accurate calculations without inversion of block diagonal matrices. The algorithm is combined with second-order upwind differencing for convective fluxes and central differencing for viscous fluxes to produce an algorithm which is second-order accurate in space and time. This new algorithm is then applied to both steady and unsteady experimental results by employing both an eight-species, nine-reaction model and a nine-species, nineteen-reaction model for the combustion of hydrogen and oxygen. Excellent agreement is achieved in both cases, confirming the accuracy of the algorithm. The efficiency of the algorithm is then compared with results of other researchers. Its computational expense per iteration is shown to be nearly linear with the number of chemical species, where the expense of other algorithms varies with the cube of the number of species. This advantage is reduced by a slower convergence rate per iteration. Its memory requirements are also shown to be linear with the number of species, where those of other algorithms vary with the square of the number of species. As a result of these properties, the new algorithm is shown to be competitive with other algorithms in terms of computational expense, and vastly superior in terms of memory requirements. en_US
dc.format.extent xii, 113 p. en_US
dc.language.iso en_US en_US
dc.rights Copyright is held by the individual authors. en_US
dc.rights.uri en_US
dc.subject.other Theses--Aeronautics and astronautics en_US
dc.title Numerical simulation of unsteady hypersonic chemically reacting flow en_US
dc.type Thesis en_US

Files in this item

This item appears in the following Collection(s)

Show simple item record

Search ResearchWorks

Advanced Search


My Account