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==== Introduction ====
This idea consists of introducing a modified version of the forcing term<ref name="guo2002force"/> into the LBM as a stress divergence force. This force is considered space-time dependent and contains solid properties<ref group="Note" name="notesolidproperties"/>
::<math>\vec{g} = \frac{1}{\rho} \mathbf{\nabla}_{x} \cdot \overline{\overline{\sigma}}</math>,
where <math>\overline{\overline{\sigma}}</math> denotes the [[cauchy stress tensor]]. <math>\vec{g}</math> and <math>\rho</math> are respectively the gravity vector and solid matter density. Stress tensor is usually computed accross the lattice aiming [[Finite difference method|finite difference schemes]].
==== Some results ====
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