|Enforcing the continuity equation in numerical models of geophysical fluid flows|
Deleersnijder, E. (2001). Enforcing the continuity equation in numerical models of geophysical fluid flows. Appl. Math. Lett. 14: 867-873
In: Applied Mathematics Letters. Pergamon Press: Oxford; New York. ISSN 0893-9659, more
Equation of continuity; Fluid flow; Geophysics; Mathematical models; Marine; Brackish water; Fresh water
A method is described for modifying the velocity field in geophysical fluid models so as to enforce the continuity equation. A corrective mass flux is introduced, which derives from a scalar potential. The latter is the solution of a Poisson problem which is formulated in such a way that a suitable norm of the corrective velocity be minimum. It is seen that a generalised vertical coordinate may be used. Finally, an elementary, one-dimensional illustration of the functioning of the method suggested is provided.