TEST-CASE NO 11B: STRETCHING OF A CIRCLE IN A VORTEX VELOCITY FIELD (N)

Stephane Vincent
Laboratoire MASTER-ENSCPB, Av. Pey-Berland B.P. 108, 33402 Talence Cedex; and TREFLE - UMR CNRS 8508, ENSCPB, Universite Bordeaux 1, 33607 Pessac Cedex, France

Jean-Paul Caltagirone
Laboratoire MASTER-ENSCPB, Av. Pey-Berland B.P. 108, 33402 Talence Cedex; and TREFLE - UMR CNRS 8508, ENSCPB, Universite Bordeaux 1, 33607 Pessac Cedex, France

D. Juric
CNRS/LIMSI, BP 133, 91403 Orsay Cedex, France

ABSTRACT

Two advection numerical tests dedicated to strong interface stretching are proposed. The first test case considers a single vortex centered in a square box, whereas in the second one a periodic multi-vortex velocity field is generated in a square cavity. An initially circular concentration shape is distorted during n time iterations. Then, the flow is reversed during n time iterations to recover the initial shape. After 2n iterations, the theoretical solution of the scalar advection problem should be identical to the initial interface shape.