Unconditional Stability in Convection Computations

by Victor Miguel Ponce, (M.ASCE), Asst. Prof. of Civ. Engrg.; Colorado State Univ., Fort Collins, Colo.,
Daryl B. Simons, (F.ASCE), Assoc. Dean of Engrg. and Prof. of Civ. Engrg.; Colorado State Univ., Fort Collins, Colo.,
Yung Hai Chen, (M.ASCE), Asst. Prof. of Civ. Engrg.; Colorado State Univ., Fort Collins, Colo.,


Serial Information: Journal of the Hydraulics Division, 1979, Vol. 105, Issue 9, Pg. 1079-1086


Document Type: Journal Paper

Abstract:

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.



Subject Headings: Numerical methods | Frames | Computing in civil engineering

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