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SYLLABUS Previous: 6 LAGRANGIAN METHOD
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Next: 6.2 Cubic-Interpolated Propagation (CIP)
6.1 Splitting advection from the rest
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Start by splitting the entire evolution into a sequence of alternating
advection and non-advection phases
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The advection part (including the convective derivative) is first evolved by
propagating the solution along the characteristics; this
is achieved using a Lagrangian method such as the explicit cubic-interpolated
propagation (CIP) scheme, which is explicit and has no restriction on the
time step.
After this interpolation from the characteristics back to Eulerian coordinates,
the second non-advection part can then be solved using one of the methods that
have been discussed previously.