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Unconditional Stability in Convection Computations
A theoretical treatment of the numerical properties of a class of explicit schemes of the pure convection equation is presented. The von Neumann and Hirt analyses are used to show that unconditional stability and second-order accuracy are both possible within the framework of an explicit formulation. Three unconditionally stable and second-order accurate explicit schemes are presented. In two of them, the weighing factors vary in time and space as a function of the local Courant number.
Unconditional Stability in Convection Computations
A theoretical treatment of the numerical properties of a class of explicit schemes of the pure convection equation is presented. The von Neumann and Hirt analyses are used to show that unconditional stability and second-order accuracy are both possible within the framework of an explicit formulation. Three unconditionally stable and second-order accurate explicit schemes are presented. In two of them, the weighing factors vary in time and space as a function of the local Courant number.
Unconditional Stability in Convection Computations
Ponce, Victor Miguel (Autor:in) / Simons, Daryl B. (Autor:in) / Chen, Yung Hai (Autor:in)
Journal of the Hydraulics Division ; 105 ; 1079-1086
01.01.2021
81979-01-01 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
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