||Exact Peak Capturing and Oscillation-Free Scheme to Solve Advection-Dispersion Transport Equations.
Yeh, G. T. ;
Chang, J. R. ;
Short, T. E. ;
||Pennsylvania State Univ., University Park. Dept. of Civil Engineering.;Robert S. Kerr Environmental Research Lab., Ada, OK.
Computational fluid dynamics ;
Transport theory ;
Ground water ;
Computational grids ;
Peclet number ;
Transport properties ;
Mathematical models ;
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||An exact peak capturing and essentially oscillation-free (EPCOF) algorithm, consisting of advection-dispersion decoupling, backward method of characteristics, forward node tracking, and adaptive local grid refinement, is developed to solve transport equations. The algorithm represents a refinement of LEZOOM, developed earlier by the senior author. In LEZOOM, a predetermined number of evenly spaced, hidden nodes was zoomed for a sharp front element, while in the EPCOF scheme, a subset of forwardly tracked nodes is zoomed. The number and location of the subset were automated. As a result, the peaks and valleys are captured exactly; and the ancillary problems of spurious oscillation, numerical dispersion, and phase errors are alleviated. Means of checking accumulated mass balance errors are provided. Application of the algorithm to two one-dimensional benchmark problems under a variety of conditions indicated that it completely eliminated peak clipping, spurious oscillation, phase error, and numerical dispersion. It yielded identical results, within the error tolerance, to exact solutions for all 19 test cases. Accumulated mass balance errors are extremely small for all 19 cases. The EPCOF scheme could solve the advective transport problems exactly, within any prescribed error tolerance, using mesh Peclet numbers ranging from 0 to infinity and very large mesh Courant numbers. (Copyright (c) 1992 by the American Geophysical Union.)
||Pub. in Water Resources Research, v28 n11 p2937-2951 Nov 92. See also N89-14794. Sponsored by Robert S. Kerr Environmental Research Lab., Ada, OK.
|NTIS Title Notes
||Reprint: Exact Peak Capturing and Oscillation-Free Scheme to Solve Advection-Dispersion Transport Equations.
||PC A03/MF A01