J. Douglas, F. Pereira, and L. M. Yeh, A locally conservative EulerianLagrangian numerical method and its application to nonlinear transport in porous media. Computational Geosciences, 4, 2000, pp. 1-40. Home/Search Document Details and Download
Summary Related Articles Check |
This paper is cited in the following contexts:
Mathematical and Numerical Techniques in Energy and.. - Chen, Ewing (2000) (Correct)
....and applied in the papers by DeVore Wang Liu Xu, Qin Wang Ewing Espedal, Wang Al Lawatia, and Wang Liang Ewing Lyons Qin in this book. Recently, in the study of computational geosciences, a new locally conservative Euler Lagrangian method (LCELM) was introduced by Douglas, Pereira, and Yeh [42]. This technique is an extension of the characteristicmixed method for transport dominated di usion processes introduced by Arbogast and Wheeler [5] The extension properly treats nonlinear problems. It was shown [42] that the LCELM technique is superior to the MMOC and the modi ed method of ....
....Euler Lagrangian method (LCELM) was introduced by Douglas, Pereira, and Yeh [42] This technique is an extension of the characteristicmixed method for transport dominated di usion processes introduced by Arbogast and Wheeler [5] The extension properly treats nonlinear problems. It was shown [42] that the LCELM technique is superior to the MMOC and the modi ed method of characteristics with adjust advection (MMOCAA) 41] techniques. The LCELM conserves mass locally, the MMOCAA does it globally, and the MMOC does not at all. The LCELM technique is further considered in the papers by ....
Douglas, J., Jr., Pereira, F., and Yeh, L., A locally conservative EulerianLagrangian numerical method and its application to nonlinear transport in porous media, to appear.
Operator Splitting for Compressible Miscible.. - Douglas, Jr., Frias.. Self-citation (Douglas Pereira) (Correct)
No context found.
J. Douglas, F. Pereira, and L. M. Yeh, A locally conservative EulerianLagrangian numerical method and its application to nonlinear transport in porous media. Computational Geosciences, 4, 2000, pp. 1-40.
Algorithmic Aspects of a Locally Conservative.. - Douglas, Jr.. Self-citation (Douglas Pereira) (Correct)
....USA Instituto Polit ecnico da Universidade do Estado do Rio de Janeiro, Nova Friburgo, RJ 28601 970, Brazil A locally conservative Eulerian Lagrangian method (LCELM) is described for the numerical solution of two phase, immiscible displacement, in 3 D porous media. This method, introduced in [2] for two dimensional problems, is directly applicable to scalar nonlinear transport problems. We rst describe the method and then we turn to a discussion of some issues related to its implementation. The result of a numerical experiment is also presented. 1. INTRODUCTION We are concerned with ....
....is necessary to de ne the initial state of the entire system by setting S(x; 0) S init (x) for x 2 The numerical solution of the governing system of equations described above is based upon an operator splitting technique. We now describe some aspects of the splitting; for further details see [2]. Let t p = i 1 t s = i 1 i 2 t st 0; 4) where i 1 and i 2 are positive integers; t p will be the time step for the pressure calculation, t s the time step for the di usive stage saturation calculation, and t st the microstep for the transport stage saturation calculation. Let discrete ....
[Article contains additional citation context not shown here]
J. Douglas, Jr., F. Pereira, L. M. Yeh, A locally conservative Eulerian-Lagrangian numerical method and its application to nonlinear transport in porous media, Computational Geosciences, 4, 2000, pp. 1-40.
The Approximation of Nuclear Contaminant Transport in.. - Douglas, Jr., Huang.. (2001) Self-citation (Douglas) (Correct)
....in [9] an outline of the derivation is included herein for the convenience of the reader. The numerical method applied to the model of this paper is a locally conservative Eulerian Lagrangian method that is an outgrowth of one applied rst to immiscible ow in a single porosity porous medium [8] and later to the nuclear contamination groundwater problem in an unfractured medium [11] A reasonably detailed algorithm will be described for its application to fractured medium problem considered here. Center for Applied Mathematics, Purdue University, West Lafayette, IN 47907 1395 y ....
....= W (H) w : w j M ij 2 P 0 L 2( 0 P k is the set of polynomials of total degree k and P k; the tensor product of polynomials of degree k in x by those of degree in y. 5 Time Discretization We employ a locally conservative, Eulerian Lagrangian time discretization procedure (LCELM) [8, 13] based on operator splitting ideas. To do this, let t p = a 1 t d ; t d = a 2 t tr ; 5.1) Nuclear Contamination in Fractured Porous Media 7 where a 1 and a 2 are positive integers. Let t m = m t p and denote by f m a function f evaluated at time t m . Similarly, let t n = n t d , f n ....
[Article contains additional citation context not shown here]
J. Douglas, Jr., F. Pereira, and L-M Yeh. A locally conservative EulerianLagrangian numerical method and its application to nonlinear transport in porous media. Computational Geosciences 4 (2000) 1-40.
The Convergence of a Locally Conservative.. - Douglas, Jr., Huang (2000) Self-citation (Douglas) (Correct)
....r t;x u(x; t) B(x; u) x d(x) u x = 0; x 2 = 1;1) t 0; 1.1a) u(x; 0) u 0 (x) x 2 IR: 1. 1b) The object of this paper is to develop a nite di erence analogue of the Locally Conservative Eulerian Lagrangian Method (LCELM) introduced by Douglas, Pereira, and Yeh [3] in the simulation of immiscible displacement of one uid by another in a porous medium; the method of [3] is a generalization to nonlinear problems of the basic idea in the papers of Arbogast, Chilikapati, and Wheeler [1, 2] in the linear case when B(x; u) b(x)u, though we shall not nd it ....
....u 0 (x) x 2 IR: 1. 1b) The object of this paper is to develop a nite di erence analogue of the Locally Conservative Eulerian Lagrangian Method (LCELM) introduced by Douglas, Pereira, and Yeh [3] in the simulation of immiscible displacement of one uid by another in a porous medium; the method of [3] is a generalization to nonlinear problems of the basic idea in the papers of Arbogast, Chilikapati, and Wheeler [1, 2] in the linear case when B(x; u) b(x)u, though we shall not nd it necessary to include the post processing part of their algorithms. The methods de ned in [1, 2, 3] all depend, ....
[Article contains additional citation context not shown here]
J. Douglas, Jr., F. Pereira, and L. M. Yeh, A locally conservative EulerianLagrangian numerical method and its application to nonlinear transport in porous media. Computational Geosciences, 4 (2000) pp. 1-40.
Online articles have much greater impact More about CiteSeer.IST Add search form to your site Submit documents Feedback
CiteSeer.IST - Copyright Penn State and NEC