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EXAMINATION OF THE UPWIND ( DONOR-CELL) FORMULATION IN CONTROL VOLUME FINITE-ELEMENT METHODS FOR FLUID FLOW AND HEAT TRANSFER

Chander Prakash

Open publisher page 40 citations

Abstract

The upwind ( donor-cell) methodology has been explored in the framework of control volume-based finite-element methods using triangular elements. The key advantage of the upwind procedure is that it ensures positive discretization coefficients and hence a stable numerical analog that avoids any undershoots/overshoots. However, the upwind procedure does increase the cross-wind diffusion. Four test problems are solved to study the performance of the scheme.

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What this paper is about

The upwind ( donor-cell) methodology has been explored in the framework of control volume-based finite-element methods using triangular elements. The key advantage of the upwind procedure is that it ensures positive discretization coefficients and hence a stable numerical analog that avoids any undershoots/overshoots. However, the upwind procedure does increase the cross-wind diffusion. Four test problems are solved to study the performance of the scheme.

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OpenAlex reports 40 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The upwind ( donor-cell) methodology has been explored in the framework of control volume-based finite-element methods using triangular elements. The key advantage of the upwind procedure is that it ensures positive discretization coefficients and hence a stable numerical analog that avoids any undershoots/overshoots. However, the upwind procedure does increase the cross-wind diffusion. Four test problems are solved to study the performance of the scheme.

Key concepts: Upwind scheme, Control volume, Discretization, Finite volume method, Finite element method, Mathematics, Flow (mathematics), Mechanics

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EXAMINATION OF THE UPWIND ( DONOR-CELL) FORMULATION IN CONTROL VOLUME FINITE-ELEMENT METHODS FOR FLUID FLOW AND HEAT TRANSFER — Research Paper | ScholarLens