An Integrated Finite Difference Method for Seepage Analysis in Anisotropic Aquifer

Nishigaki, Makoto; Futami, Yasuo; Kohno, Iichiro

doi:10.3208/sandf1972.26.3_169

Cited by 2 publications

(1 citation statement)

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“…FVM realizes a low computational load and is advantageous in that it can stably solve diŠerential equations with advective terms. As for computational studies on geotechnical problems, Nishigaki et al (1986) applied FVM to a saturated-unsaturated seepage analysis, although they described the method as an`Integrated Finite DiŠerence Method (IFDM)', and Fujisawa et al (2010) have used the method to solve the advection equation of eroded soil particles migrating within soils. Rapid advancements are being made with FVM and its potential for use in geotechnical applications is expected to be soon realized.…”

Section: Mesh-free Methods Sph Finite Volume Methods and So Onmentioning

confidence: 99%

Numerical Methods

Murakami¹,

Wakai²,

Fujisawa³

2010

Soils and Foundations

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This paper provides a comprehensive survey of the numerical methods related to geotechnical problems, most of which were reported in papers appearing in Soils and Foundations. The reason why most of the reviewed papers are concentrated in Soils and Foundations is that if we were to include papers appearing in other journals in theˆeld of geotechnical engineering, closely related to numerical methods, e.g., Computers and Geotechnics, Int. J. Numer. Anal. Meth. Geomech., etc., we would have to deal with almost all the papers in those journals. Firstly, we present a description of the current status of the numerical methods, and then give a brief review of the literature covering several topics in geotechnical applications. The scope of the review is limited, and thus, the authors do not profess to cover the entire range of literature.

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Section: Mesh-free Methods Sph Finite Volume Methods and So Onmentioning

confidence: 99%