We extend the volume of fluid method for the computation of two-phase flow to a higher order accurate method in two dimensions. The interface reconstruction by the PLIC method is thereby replaced by a periodic interface reconstruction. The advection step is reformulated and extended to higher order in order to account for the present interface representation. This periodic interface reconstruction describes the interface in terms of higher order periodic B-splines. Numerical tests verify that the theoretical order of convergence is indeed exhibited by the present method.
An Extended Volume of Fluid Method and its Application to Single Bubbles Rising in a Viscoelastic Liquid
Deep learning of interfacial curvature: a symmetry-preserving approach for the volume of fluid method
A volume of fluid method for simulating fluid/fluid interfaces in contact with solid boundaries
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