Tryggvason and Aref used a boundary integral method and the vortex-in-cell method to evolve the interface between two fluids in a Hele-Shaw cell. The method gives excellent results for intermediate values of the nondimensional surface tension parameter. The results are different from the predicted r
Numerical solution of the Hele-Shaw equations
β Scribed by Nathaniel Whitaker
- Publisher
- Elsevier Science
- Year
- 1990
- Tongue
- English
- Weight
- 74 KB
- Volume
- 87
- Category
- Article
- ISSN
- 0021-9991
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## Abstract The effects of Coriolis forces to interfacial stabilities on miscible rotating HeleβShaw flows are investigated by means of highly accurate numerical schemes. Two major influences on the interfaces, i.e. the stabilization of circumferential fingerings and the unstable body distortion of
In 1798 J.-L. Lagrange published an extensive book on the solution of numerical equations. Lagrange had developed four versions of a general systematic algorithm for detecting, isolating, and approximating, with arbitrary precision, all real and complex roots of a polynomial equation with real coeff