Computational complexities and streamfunction coordinates

• Published in: Applied mathematics and computation Vol. 169; no. 2; pp. 758 - 777
• Main Authors: Awartani, M.M., Ford, R.A., Hamdan, M.H.
• Format: Journal Article
• Language: English
• Published: New York, NY Elsevier Inc 15-10-2005; Elsevier
• Subjects: Computational grid; Computational methods in fluid dynamics; Exact sciences and technology; Fluid dynamics; Fundamental areas of phenomenology (including applications); Mathematics; Numerical analysis; Numerical analysis. Scientific computation; Partial differential equations, boundary value problems; Physics; Sciences and techniques of general use; Streamfunction coordinates; von Mises; Computational grid; von Mises; Streamfunction coordinates; Grid pattern; Streamfunction coordinate; Viscous fluid; Applied mathematics; Two dimensional flow; Computational complexity; Von Mises transformation
• ISSN: 0096-3003; 1873-5649
• DOI: 10.1016/j.amc.2004.09.088

In this work we consider some of the computational aspects of viscous fluid flow through two-dimensional curvilinear domains. Associated with the use of the von Mises transformation in mapping a physical plane into a computational plane are some complexities that arise in the main part due to the infinite nature of the Jacobian of the transformation. Some recommendations are made in this work to overcome some of the arising computational difficulties.