Numerical Heat Transfer · 1988 · 70 citations · 15 references
EngineeringComputational EngineeringMechanical EngineeringComputational Fluid DynamicsFluid DynamicsHeat TransferHeat Transfer AnalysisHeat Transfer In FluidsNavier-stokes EquationsCoupled Equations Of MotionCoupled Motion EquationsCoupled Partial Differential EquationsFluid ModelsNatural ConvectionThermo-fluid Dynamics
Hutchinson and Raithby [10] proposed a simple additive correction multigrid (ACM) method that has proved effective in reducing the cost of solving an algebraic equation set for a single variable. The equations of fluid motion and heat transfer lead to coupled sets of equations. The present paper outlines how ACM can be extended to solve these equations and reports results for a fluid dynamics and a natural convection problem (where the temperature-velocity coupling is important). The application of ACM to the coupled equations proves to be extremely attractive.
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Multi-level adaptive solutions to boundary-value problems
Achi Brandt · Mathematics of Computation · 1977 · 3.2K citations · Full text
Frank Schmidt · International Journal of Heat and Fluid Flow · 1985 · 906 citations