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Energy flux equalization: An open boundary condition for non‐linear free surface flows
Author(s) -
Jagannathan Sridhar
Publication year - 1992
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650140704
Subject(s) - boundary (topology) , boundary value problem , free surface , mathematics , mathematical analysis , flux (metallurgy) , mechanics , poincaré–steklov operator , domain (mathematical analysis) , flow (mathematics) , free boundary problem , robin boundary condition , physics , geometry , materials science , metallurgy
In the simulation of non‐linear free surface flows in a finite domain a major concern is with the radiation condition to be applied at the ‘open’ boundary. No general theoretical radiation conditions are known to exist. In this paper a new open boundary condition is formulated based on energy flux equalization between the non‐linear inner domain and a linear outer domain. The non‐linear flow in the inner domain is solved numerically using a semi‐Lagrangian procedure. The energy flux arriving at the open boundary is removed using a new open boundary condition which acts as a linear wave absorber. For the cases studied the performance of this boundary condition is found to be quite good.