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Download full text - ELSA - Europa

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The FSCR algorithm<br />

Combination of FSA and UP, exploiting respective strengths.<br />

• Search normal(s) by FSA: n 1<br />

(n 2<br />

).<br />

• Search normal by UP: n p<br />

.<br />

• If FSA yields influence domain<br />

composed only by mutually<br />

opposite faces, we know that n p<br />

is undetermined: keep n 1<br />

(n 2<br />

).<br />

• In all other cases n p<br />

is more accurate than n 1<br />

(n 2<br />

). If there is only one FSA<br />

normal n 1<br />

, we take n p<br />

instead. Else there are two FSA normals n 1<br />

, n 2<br />

: we<br />

correct them so that n p<br />

is contained in the plane defined by n’ 1<br />

, n’ 2<br />

.<br />

25<br />

The case of rigid structures (FSR)<br />

• When structural displacements are known to be negligible (rigid structures),<br />

one may want to model only the fluid<br />

• The compatibility condition simplifies to: v<br />

F<br />

in = 0<br />

• The normal n is constant in time and<br />

needs to be computed only once<br />

• The geometric and equilibriumbased<br />

methods may be used<br />

unchanged, apart from suitable<br />

simplifications<br />

• Practical aspect: the automatic<br />

FS directives dramatically<br />

simplify the prescription of<br />

boundary conditions in<br />

geometrically complex cases<br />

26<br />

13

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