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Development of a Three-Dimensional Model of the Atmospheric Boundary Layer Using the Finite Element Method.

机译:用有限元法建立大气边界层三维模型。

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This report summarizes our current effort and ideas toward the development of a model for the planetary boundary layer using the finite element technique. As an initial step,the finite element methodology is applied to simpler version of the boundary layer equations given by the two-dimensional,constant-property,incompressible conservation equations (Navier-Stokes equations). Solution procedures for both the steady-state and transient equations are discussed. For the transient problem, a variable time-step,trapezoid-rule algorithm with dynamic time-truncation error control is presented. The resulting system of nonlinear algebraic equations is solved by a Newton iteration procedure with a frontal solution scheme used for the linear set of equations. The need to develop a suitable linear equation solver,with respect to minimization of computer storage and execution costs,particularly for large (three-dimensional) finite element problems,is also discussed. (ERA citation 03:037946)

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