High-order methods and numerical boundary conditions

• Autor(es): Sousa, Ercília
• Data: 2007
• Identificador Persistente: http://hdl.handle.net/10316/4599
• Origem: Estudo Geral - Universidade de Coimbra
• Assunto(s): High-order finite differences; Convection-diffusion; Boundary conditions
• Tipo de Documento: Artigo
• Idioma: Inglês

Descrição

In this paper we present high-order difference schemes for convection diffusion problems. When we apply high-order numerical methods to problems where physical boundary conditions are not periodic there is a need to choose adequate numerical boundary conditions in order to preserve the high-order accuracy. Next to the boundary we do not usually have enough discrete points to apply the high-order scheme and therefore at these nodes we must consider different approximations, named the numerical boundary conditions. http://www.sciencedirect.com/science/article/B6V29-4NX2NG2-1/1/710e654989fae74021792ce58e7ca0a1