13. Time discretization¶
Time integrators range from simple backward Euler or a second order three state scheme, BDF2.
A general time discretization approach can be written as,
where \(\gamma_i\) represent the appropriate factors for either Backward Euler or a three-point BDF2 scheme. In both discretization approaches, the value for density and other dofs are evaluated at the node. As such, the time contribution is a lumped mass scheme with the volume simply the dual volume. The topology over one loops to assemble system is simply the node. Although CVFEM affords the use of a consistent mass matrix, this scheme is not used at present.