A volume-of-fluid interface reconstruction algorithm that is second-order accurate in the max norm

A Volume-of-fluid Interface Reconstruction Algorithm That Is Second-order Accurate in the Max Norm Elbridge Gerry Puckett

On the Second-order Accuracy of Volume-of-fluid Interface Reconstruction Algorithms: Convergence in the Max Norm

A Second Order Accurate Method in Simulation of Underwater Explosion

In this paper, a numerical scheme is proposed for the multi-fluid compressible flows. This method is applied to the problem of underwater explosion. The proposed scheme is basically the extension of Godunov method in gas dynamic problems to the multifluid environments and is second-order accurate in space. In this method, also, the problem of artificial mixing of two different phases on Euleria...

A Second Order Accurate Method in Simulation of Underwater Explosion

In this paper, a numerical scheme is proposed for the multi-fluid compressible flows. This method is applied to the problem of underwater explosion. The proposed scheme is basically the extension of Godunov method in gas dynamic problems to the multifluid environments and is second-order accurate in space. In this method, also, the problem of artificial mixing of two different phases on Euleria...

Matrix reconstruction with the local max norm

We introduce a new family of matrix norms, the “local max” norms, generalizing existing methods such as the max norm, the trace norm (nuclear norm), and the weighted or smoothed weighted trace norms, which have been extensively used in the literature as regularizers for matrix reconstruction problems. We show that this new family can be used to interpolate between the (weighted or unweighted) t...