A highly accurate and stable explicit finite difference solution to the convection-dispersion equation with varying velocity and dispersion coefficients

✍ Scribed by Muktar Ali El-Ageli; Don E. Menzie

• Publisher: John Wiley and Sons
• Year: 1987
• Tongue: English
• Weight: 426 KB
• Volume: 3
• Category: Article
• ISSN: 0749-159X
• DOI: 10.1002/num.1690030202

✦ Synopsis

Based on the implicit form of the finite difference analogue to the convection-dispersion equation of variable velocity and dispersion coefficients, a highly accurate and stable explicit finite difference scheme has been developed by extending the von Rosenberg linear scheme to the varying cases. This variable velocity and dispersion coefficient scheme has been tested for the entire range of (2D/v Ax) between zero and unity, the region where no completely satisfactory numerical method has been previously available. No oscillations or numerical dispersion were observed in any of the solutions. Numerical Methods for Partial Differential Equations, 3, 87-99 (1987) 0 1987 John Wiley & Sons, Inc.