A Shock-capturing Finite-element Technique ForUnsaturated-saturated Flow And TransportProblems
作者： H.J.G. Diersch
DOI: 10.2495/CMWR980261
关键词: Finite element technique 、 Saturated flow 、 Finite element approach 、 Mechanics 、 Term (time) 、 Flow (mathematics) 、 Shock (mechanics) 、 Materials science 、 Saturated porous medium 、 Nonlinear system
摘要: A shock-capturing technique is introduced for a finite element approach of the governing balance equations flow, contaminant mass and heat transport in variably saturated porous media. It represents nonlinear method which depends itself on numerical solution characterized by an additional discontinuity-capturing term controlling derivatives direction gradient. The embedded predictor-corrector scheme first second order time to handle implicitly. impact studied selected applications.
sci-hub.st 参考文章(9)
Peter F G Hansbo, Claes Johnson, Anders Szepessy, On the convergence of shock-capturing streamline diffusion finite element methods for hyperbolic conservation laws Mathematics of Computation. ,vol. 54, pp. 107- 129 ,(1990) , 10.2307/2008684
P. A. Forsyth, M. C. Kropinski, Monotonicity Considerations for Saturated--Unsaturated Subsurface Flow SIAM Journal on Scientific Computing. ,vol. 18, pp. 1328- 1354 ,(1997) , 10.1137/S1064827594265824
H.-J.G. Diersch, O. Kolditz, Coupled groundwater flow and transport: 2. Thermohaline and 3D convection systems Advances in Water Resources. ,vol. 21, pp. 401- 425 ,(1998) , 10.1016/S0309-1708(97)00003-1
Patrick J Roache, On artificial viscosity Journal of Computational Physics. ,vol. 10, pp. 169- 184 ,(1972) , 10.1016/0021-9991(72)90058-7
Thomas J.R. Hughes, Michel Mallet, A new finite element formulation for computational fluid dynamics: IV. A discontinuity-capturing operator for multidimensional advective-diffusive systems Applied Mechanics and Engineering. ,vol. 58, pp. 329- 336 ,(1986) , 10.1016/0045-7825(86)90153-2
Alexander N. Brooks, Thomas J.R. Hughes, Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations Computer Methods in Applied Mechanics and Engineering. ,vol. 32, pp. 199- 259 ,(1990) , 10.1016/0045-7825(82)90071-8
Thomas J.R. Hughes, Michel Mallet, Mizukami Akira, A new finite element formulation for computational fluid dynamics: II. Beyond SUPG Applied Mechanics and Engineering. ,vol. 54, pp. 341- 355 ,(1986) , 10.1016/0045-7825(86)90110-6
Ramon Codina, A discontinuity-capturing crosswind-dissipation for the finite element solution of the convection-diffusion equation Computer Methods in Applied Mechanics and Engineering. ,vol. 110, pp. 325- 342 ,(1993) , 10.1016/0045-7825(93)90213-H
J. C. Heinrich, P. S. Huyakorn, O. C. Zienkiewicz, A. R. Mitchell, An ‘upwind’ finite element scheme for two-dimensional convective transport equation International Journal for Numerical Methods in Engineering. ,vol. 11, pp. 131- 143 ,(1977) , 10.1002/NME.1620110113