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As a developer, I would like to have a utility function which can calculate the damping matrix, such that this can be re-used.
Acceptance Criteria
The calculation of the damping matrix is available as a utility function, which takes the mass and stiffness matrices and the rayleigh coefficients ($\alpha$ and $\beta$)
This calculation is defined once and re-used at all locations where this calculation is done in the geomechanics application.
The utility function is documented and unit-tested.
Background
This issue handles the D in the equation describing our UPw system of equations:
$$ \begin{bmatrix} M & 0 \\
0 & 0 \end{bmatrix} \begin{bmatrix} \ddot{u} \\
\ddot{p} \end{bmatrix} +
\begin{bmatrix} D & 0 \\
Q^T & C \end{bmatrix} \begin{bmatrix} \dot{u} \\
\dot{p} \end{bmatrix} +
\begin{bmatrix} K & -Q \\
0 & H \end{bmatrix} \begin{bmatrix} u \\
p \end{bmatrix} =
\begin{bmatrix} f_u \\
f_p \end{bmatrix} $$
The mathematical definition is: $$D = \alpha_R M + \beta_R K$$
Where $M$ and $K$ are the mass and damping matrices respectively and $\alpha_R$ and $\beta_R$ are the coefficients from the Rayleigh Method.
The text was updated successfully, but these errors were encountered:
As a developer, I would like to have a utility function which can calculate the damping matrix, such that this can be re-used.
Acceptance Criteria
Background
This issue handles the
D
in the equation describing our UPw system of equations:The mathematical definition is:
$$D = \alpha_R M + \beta_R K$$
Where$M$ and $K$ are the mass and damping matrices respectively and $\alpha_R$ and $\beta_R$ are the coefficients from the Rayleigh Method.
The text was updated successfully, but these errors were encountered: