气候变化领域集成服务门户(CCPortal): A mass-transfer particle-tracking method for simulating transport with discontinuous diffusion coefficients

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DOI	10.1016/j.advwatres.2020.103577
	A mass-transfer particle-tracking method for simulating transport with discontinuous diffusion coefficients
	Schmidt M.J.; Engdahl N.B.; Pankavich S.D.; Bolster D.
发表日期	2020
ISSN	0309-1708
卷号	140
英文摘要	The problem of a spatially discontinuous diffusion coefficient (D(x)) is one that may be encountered in hydrogeologic systems due to natural geological features or as a consequence of numerical discretization of flow properties. To date, mass-transfer particle-tracking (MTPT) methods, a family of Lagrangian methods in which diffusion is jointly simulated by random walk and diffusive mass transfers, have been unable to solve this problem. This manuscript presents a new mass-transfer (MT) algorithm that enables MTPT methods to accurately solve the problem of discontinuous D(x). To achieve this, we derive a semi-analytical solution to the discontinuous D(x) problem by employing a predictor-corrector approach, and we use this semi-analytical solution as the weighting function in a reformulated MT algorithm. This semi-analytical solution is generalized for cases with multiple 1D interfaces as well as for 2D cases, including a 2 × 2 tiling of 4 subdomains that corresponds to a numerically-generated diffusion field. The solutions generated by this new mass-transfer algorithm closely agree with an analytical 1D solution or, in more complicated cases, trusted numerical results, demonstrating the success of our proposed approach. © 2020 Elsevier Ltd
关键词	Hydrogeology Lagrange multipliers Diffusive mass transfer Geological features Lagrangian methods Numerical discretization Particle-tracking method Predictor corrector Semi-analytical solution Weighting functions Diffusion algorithm diffusion fluid mechanics mass transfer one-dimensional modeling stochasticity
语种	英语
来源机构	Advances in Water Resources
文献类型	期刊论文
条目标识符	http://gcip.llas.ac.cn/handle/2XKMVOVA/131811
推荐引用方式 GB/T 7714	Schmidt M.J.,Engdahl N.B.,Pankavich S.D.,et al. A mass-transfer particle-tracking method for simulating transport with discontinuous diffusion coefficients[J]. Advances in Water Resources,2020,140.
APA	Schmidt M.J.,Engdahl N.B.,Pankavich S.D.,&Bolster D..(2020).A mass-transfer particle-tracking method for simulating transport with discontinuous diffusion coefficients.,140.
MLA	Schmidt M.J.,et al."A mass-transfer particle-tracking method for simulating transport with discontinuous diffusion coefficients".140(2020).