Using the PPML approach for constructing a low-dissipation, operator-splitting scheme for numerical simulations of hydrodynamic flows

An approach for constructing a low-dissipation numerical method is described. The method is based on a combination of the operator-splitting method, Godunov method, and piecewise-parabolic method on the local stencil. Numerical method was tested on a standard suite of hydrodynamic test problems. In addition, the performance of the method is demonstrated on a global test problem showing the development of a spiral structure in a gravitationally unstable gaseous galactic disk

Simulation of formaldehyde formation during a galaxy collision using vectorized numerical method on Intel Xeon Phi accelerators

Implementation of a new vectorized high-order accuracy numerical method for solving gravitational gas dynamics equations on supercomputers equipped with Intel Xeon Phi accelerators is presented in the paper. Combination of the Godunov method, the Harten-Lax-Van Leer method and the piecewise parabolic method on local stencil is at the basis of the method, that allows achieving high-order accuracy for smooth solutions and low dissipation on discontinuities. Chemokinetic model of formaldehyde formation based on molecular hydrogen and carbon monoxide is presented. Numerical experiment results, which describe the mechanism of formaldehyde formation based on reactions involving molecular hydrogen and carbon monoxide during a collision of di erent types of galaxies, are shown.The research work was supported by the Grant of the President of Russian Federation for the support of young scientists number MK - 1445.2017.9, RFBR grants 18-01-00166, 18-07-00757 and 18-41-543012

Proceedings of the Second International Colloquium on Drops and Bubbles

Applications of bubble and drop technologies are discussed and include: low gravity manufacturing, containerless melts, microballoon fabrication, ink printers, laser fusion targets, generation of organic glass and metal shells, and space processing. The fluid dynamics of bubbles and drops were examined. Thermomigration, capillary flow, and interfacial tension are discussed. Techniques for drop control are presented and include drop size control and drop shape control