publication . Article . 1994

NORMALIZED VARIABLE AND SPACE FORMULATION METHODOLOGY FOR HIGH-RESOLUTION SCHEMES

Marwan Darwish; Fadl Moukalled;
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  • Published: 01 Jan 1994
Abstract
Abstract The normalized variable formulation (NVF) methodology of Leonard [1] provides the proper framework for the development and analysis of high-resolution convection-diffusion schemes, which combine the accuracy of higher-order schemes with the stability and boundedness of the first-order upwind scheme. However, in its current form the NVF methodology helps in deriving connective schemes for uniformly or nearly uniformly discretized spaces. To remove this shortcoming, a new, normalized variable and space formulation (NVSF) methodology is developed. In the newly developed technique, spatial parameters are introduced so as to extend the applicability of the N...
Subjects
free text keywords: Modelling and Simulation, Mechanics of Materials, Condensed Matter Physics, Numerical Analysis, Computer Science Applications, Fluid dynamics, Mathematical analysis, Normalization (statistics), Upwind scheme, Discretization, Mathematics, High resolution, Numerical stability, Convection–diffusion equation
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