標題: An accurate integral-based scheme for dispersion equation
作者: Tsai, TL
Yang, JC
Huang, LH
土木工程學系
Department of Civil Engineering
關鍵字: quadratic polynomial function;dispersion equation;integral-based scheme
公開日期: 2001
摘要: This paper proposes an accurate integral-based scheme for solving dispersion equation. In the newly-proposed scheme the dispersion equation is integrated over a computational element using the quadratic polynomial interpolation function. Then elements are connected by the continuity of first derivative at boundary point of adjacent elements. The newly-proposed scheme is unconditionally stable and preserves a tridiagonal system of equations which can be solved efficiently by the Thomas algorithm. Using the method of fractional steps, the newly-proposed scheme, originally developed for one-dimensional problems, can be extended straightforward to multi-dimensional problems. To investigate the computational performances of the newly-proposed scheme five numerical examples are considered : (i) dispersion of Gaussian concentration distribution in one-dimensional uniform flow, (ii)one-dimensional viscous burger's equation, (iii) pure advection of Gaussian concentration distribution in two-dimensional uniform flow, (iv) pure advection of Gaussian concentration distribution in two-dimensional rigid-body rotating flow and (v) three-dimensional diffusion in a shear flow. In comparison not only with the QUICKEST scheme, fully time-centred implicit QUICK scheme and fully time-centred implicit TCSD scheme for one-dimensional problem but also with the ADI-QUICK scheme, ADI-TCSD scheme and MOSQUITO scheme for two-dimensional problems, the newly-proposed scheme shows convincing computational performances.
URI: http://hdl.handle.net/11536/19089
期刊: ENVIRONMENTAL HYDRAULICS AND ECO-HYDRAULICS, THEME B, PROCEEDINGS: 21ST CENTURY: THE NEW ERA FOR HYDRAULIC RESEARCH AND ITS APPLICATIONS
起始頁: 115
結束頁: 121
Appears in Collections:Conferences Paper