OGS
[case] TimeDecayDirichlet

Dirichlet boundary condition with time-dependent decay.

This boundary condition imposes the initial values of the specified primary variable at the boundary nodes, scaled by a time-dependent parameter. The scaling parameter should be monotonically decreasing over time, representing progressive removal or reduction of support (e.g., during excavation). Typically, the scaling factor starts at 1 ( \( g(0, \mathbf{x}) = 1 \)) at the initial time and decreases to 0 ( \( g(t_e, \mathbf{x}) = 0 \)) at the end of the process ( \( t_e \)). The value of the boundary condition is given by

\[ g(t, \mathbf{x}) (u_0(\mathbf{x}) - u_{\text{min}}) + u_{\text{min}} \]

, where \( u_0(\mathbf{x}) \) is the initial value of the primary variable at the boundary node \( \mathbf{x} \), and \( u_{\text{min}} \) is the user-defined lower limit of the boundary value.

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Used in the following test data files