Lectures On Combustion Theory Lectures Given in a Seminar Held During Spring Se
Lectures On Combustion Theory Lectures Given in a Seminar Held During Spring Se
Samuel Z Burstein
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Morton, Finite Difference Methods for Initial Value Problems, Interscience (1967). [10] F. A. Williams, Combustion Theory, Addison-Wesley (1965). 172 5-1 A NUMERICAL STUDY OF CYLINDRICAL IMPLOSION Gary A. Sod Courant Institute of Mathematical Sciences New York University- New York, New York 10012 Abstract 5 numerical procedure is introduced to solve the one- dimensional equations of gas dynamics for a cylindrically or spherically symmetric flow. The method consists of a judicious combination of... Glimm's method and operator splitting. The method is applied to the problem of a converging cylindrical shock. Introduction The one-dimensional equations for an inviscid, non-heat con- ducting, radially symmetric flow can be written in the form (1) where (2) U = /pN IT. \e J Ut'^i^^U^r = -^^-^^ ' F(U) C m \ m^/p + p . M(e+p)/p. , and W(U) = (a-l) m/r ra /pr \ IT: \ p is ' r is the spa^- for cy ■ scripts refer nsity, u is the velocity, m = pu is •, e is the energy per unit volume, t is time, .
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