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S. Koltakov and O. B. Fringer Moving grid method for numerical simulation of stratified flows International Journal for Numerical Methods in Fluids 71

Version of Record online: 29 AUG 2012 | DOI: 10.1002/fld.3724

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We develop a second-order accurate Navier–Stokes solver based on r-adaptivity of the underlying numerical discretization. The motion of the mesh is based on the fluid velocity field; however, certain adjustments to the Lagrangian velocities are introduced to maintain the quality of the mesh. The adjustments are based on the variational approach of energy minimization to redistribute grid points closer to the areas of rapid solution variation.

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