An interpolation based finite difference method on non-uniform grid for solving Navier stokes equations

• Main Authors: Chen, Weijia, Chen, Jim C., Lo, Edmond Yat-Man
• Other Authors: School of Civil and Environmental Engineering
• Format: Article
• Language: English
• Published: 2014
• Subjects: DRNTU::Engineering::Civil engineering::Water resources
• Online Access: https://hdl.handle.net/10356/100202; http://hdl.handle.net/10220/24055
• Institution: Nanyang Technological University

This paper presents a Hermite polynomial interpolation based method to construct high-order accuracy finite difference schemes on non-uniform grid. This method can achieve arbitrary order accuracy by expanding the grid stencil and involving higher order derivatives. The paper first constructs combin...