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An algorithm for multidimensional combusting flow problems.
J Comput Phys 1981 Jul; 42(1):152-194
Mathematical effort in combusting fluid flow has been limited due to the numerical difficulties associated with the highly nonlinear processes such as arrhenius chemical kinetics, radiation, and turbulence superimposed upon fluid flow. Traditional explicit schemes become inefficient in typical combustion problems because the stability requirement is more stringent than the accuracy requirement. The approach taken in this paper is to combine the best features of the block implicit (bi)-adi partial differential equation (pde) scheme with the best features of the stiff ordinary differential equation (ode) schemes and the damped Newton-Raphson and steepest descent nonlinear equation schemes. The resulting algorithm for the highly nonlinear pde's for combustion problems is very robust and efficient over a wide range of phenomena.
OP; Journal Article
Issue of Publication
Journal of Computational Physics
Page last reviewed: May 5, 2020
Content source: National Institute for Occupational Safety and Health Education and Information Division