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A program of FEM named as SOFT, adopting unified field equations for thermo-hydro-mechanical-air (THMA) behavior of geomaterial and using finite element-finite difference (FE-FD) scheme for soil water air three-phase coupling problem, is used in the numerical simulation.
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The double-loop strong coupling problem was existed in the model of some power devices under dq coordinate system.
Then, the cell problems, effective material coefficients and the homogenized thermo mechanical coupling problem are obtained successively by the second-order asymptotic expansion of the temperature increment and displacement.
In this paper, various verifications and validations of the present full Eulerian method, which solves the fluid and solid motions on a fixed grid, are demonstrated, and the numerical accuracy involved in the fluid structure coupling problems is examined.
A preconditioned flux-vector splitting (PFVS) scheme in general curvilinear coordinates which can be applied to condensate fluid and solid coupling problems is presented and some typical calculated results are shown to prove the availability of the present method.
The coupled problem is solved mainly analytically.
The coupled problem is formulated as a symmetric standard problem.
This coupled problem is solved by successive implementation of the Laplace and finite Hankel transforms.
The coupled problem is solved by means of a new iterative procedure.
The transient coupled problem is numerically studied using the classical finite element method.
In general, the coupled problem is reduced to the Schur complement equation on the skeleton of the domain decomposition.
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