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Discontinuous flow features are captured using a diffuse interface method.
We solve the flow using the immersed interface method.
We present a sharp interface method for modeling such process.
The diffusive interface method is an approach for modeling interactions among complex substances.
This novel sliding-mesh interface method is very suitable for parallel processing with domain decomposition.
Also, an application of the proposed free interface method to optimization design is presented.
The method is based on the fast immersed interface method and a fast 3D Poisson solver.
The immersed interface method (IIM) is regenerated for a comparison study of the proposed method.
The jump conditions along the interfaces are discretized by an immersed interface method.
In our study, the coalescence-induced droplet jumping process was numerically studied through transient three-dimensional diffuse interface method.
A diffuse interface method for simulating dynamics of premixed flames is proposed.
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