SMS scnews item created by Eduardo Altmann at Mon 26 Jun 2017 1731
Type: Seminar
Distribution: World
Expiry: 4 Sep 2017
Calendar1: 9 Aug 2017 1400-1500
CalLoc1: AGR Carslaw 829
CalTitle1: Construction and simulation of discrete integrable model for soil water infiltration problem
Auth: ega@como.maths.usyd.edu.au

Applied Maths Seminar

Construction and simulation of discrete integrable model for soil water infiltration problem

Kajiwara

Prof. Kenji Kajiwara (Institute of Mathematics for Industry, Kyushu University, Japan)
Title: Construction and simulation of discrete integrable model for soil water infiltration problem
Abstract: In this talk, we propose an integrable model and its discretization describing one-dimensional soil water infiltration problem. The model is formulated as the nonlinear boundary value problem for a nonlinear diffusion-convection equation, which is transformed to the Burgers equation by a certain independent variable transformation incorporating the dependent variable, called the hodograph transformation or the reciprocal transformation. We construct the discrete model preserving the underlying integrability nature and formulate it as the self-adaptive moving mesh scheme. If we require the numerical stability and high-precision coincidence with the special case where the exact solution is obtained, we need some investigation and modification of the discrete model from the point of view different from integrability. We discuss this point and show some numerical results.
This talk is based on the paper arXiv:1705.03129 by D. Triadis (Kyushu/La Trobe) , P. Broadbridge (La Trobe), K. Maruno (Waseda) and myself.

Seminars are held at 2:00 pm on Wednesdays in the Access Grid Room ( Carslaw Building, 8th floor, room 829), unless otherwise noted.

Applied Maths Seminar webpage


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