A test with nodal source term

• HydroMechanics/NodalSourceTerm/nodal_source_test.prj

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The purpose of this benchmark is to test the source term type of NodalSourceTerm being applied to the hydraulic equation in the computations with the Taylor-Hood elements, e.g., the pressure interpolation using linear shape function, and the displacement interpolation using quadratic shape function.

The problem is solved on a rectangular domain 2 m $\times$ 1 m. Nodal fluid flux is applied on the left boundary nodes with a value of 0.001 kg/s via the property of NodalSourceTerm. The pore pressure on the right boundary is equal to the initial pore pressure of $10^5$ Pa. The displacement in the normal direction of all boundaries except the left one is fixed.

Fluid and solid are incompressible.

All involved parameters are listed in the following tables:

Material Properties

Property	Value	Unit
Fluid density	$10^3$	kg/m$^3$
Viscosity	$10^{-3}$	Pa$\cdot$s
Permeability	$10^{-14}$	m$^2$
Young’s modulus (bulk)	$2.5\cdot 10^9$	Pa
Poisson ratio (bulk)	$0.27$	-
Biot coefficient	$0.9$	-

The time period of 86400 is discretised into 100 steps.

The distributions of pressure and displacement at the end time are shown in the following figure: