A Two-Step Scheme for the Advection Equation with Minimized Dissipation and Dispersion Errors
Year: 1985
Type: article
Abstract: A two-step advection scheme of the Lax-Wendroff type is derived which has accuracy and phase characteristics similar to that of a third-order scheme. The scheme is exactly third-order accurate in time and space for uniform flow. The new scheme is compared with other currently used methods, and is shown to simulate well the advection of localized disturbances with steep gradients. The scheme is derived for constant flow and generalized to two-dimensional nonuniform flow.
Source: Monthly Weather Review
Author: Lawrence L. Takacs
Institution: Goddard Space Flight Center
Language: English
Subfield: Computational Mechanics
Field: Engineering
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W2040903871