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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; e-ISSN 1873-5452, more
Peer reviewed article  
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Keywords
    Earth sciences > Geophysics
    Equations > Equation of continuity
    Models > Mathematical models
    Motion > Fluid motion > Fluid flow
    Marine/Coastal; Brackish water; Fresh water
Author  Top 
  • Deleersnijder, E., more
Abstract
    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.
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