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- W2029909038 abstract "The flow of water through soils in many practical situations is unsteady and unsaturated. It is unsteady because the moisture content changes as a function of time. This chapter presents a finite element solution of unsteady and unsaturated flow in porous media. It also presents an unsteady, unsaturated, one-dimensional, horizontal flow in a soil of constant cross section and finite length. A finite element weighted residual process has been applied to both linear and nonlinear partial differential equations. From the linear cases, the method proves to be very accurate, and with the decreasing of the size of the finite elements the solution converges to the exact solution. For the nonlinear cases, the results depend upon the careful choice of parameters that are listed in the previous section. The results presented demonstrate the usefulness of the method in obtaining solutions to one-dimensional nonlinear partial differential equations. Further, the method presents an efficient alternative to other solution methods in which the iteration procedure arises directly from the problem itself. The method presented is more general in that nonlinear algebraic equations are generated and solved using a subroutine specifically designed for them." @default.
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- W2029909038 date "1973-01-01" @default.
- W2029909038 modified "2023-10-16" @default.
- W2029909038 title "FINITE ELEMENT SOLUTION OF UNSTEADY AND UNSATURATED FLOW IN POROUS MEDIA" @default.
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- W2029909038 doi "https://doi.org/10.1016/b978-0-12-747250-8.50016-3" @default.
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