Abstract
Two advection numerical tests dedicated to strong interface stretching are proposed. The first test case considers a single vortex cen- tered in a square box, whereas in the second one a periodic multi-vortex velocity field is generated in a square cavity. An initially circular concen- tration 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. 1. PRACTICAL SIGNIFICANCE AND INTEREST OF THE TEST-CASE The accuracy and overall quality of front tracking and front capturing methods is of ma- jor importance for fundamental and industrial research simulations devoted to multiphase flows. Two advection numerical tests dedicated to strong interface stretching are proposed here. Our objective is to estimate the sensitivity of interface tracking methods to free sur- face deformations and to quantify mass conservation in strongly varying interface shape problems. The first test-case considers a single vortex centered in a square box whereas in the second problem, a periodic multi-vortex velocity field is generated in a square cavity. In an analytical velocity field, an initially circular concentration shape of radius R0 is dis- torted during n time iterations until interface structures of characteristic length less than R0=20 are generated. Then, the flow field is reversed and a same calculation is performed during an equal duration to recover the initial cylindrical shape. After 2 n iterations, the theoretical solution of the scalar advection problem is the initial interface condition. The works of Rider & Kothe (1995) or Rudman (1997) scrutinize numerical solutions provided by Volume Of Fluid, Level-Set or Front Tracking approaches on these two tests.
Published Version
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