Pavel Váchal

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A new optimization-based synchronized flux-corrected conservative interpolation (remap-ping) of mass and momentum for arbitrary Lagrangian–Eulerian hydro methods is described. Fluxes of conserved variables – mass and momentum – are limited in a synchronous way to preserve local bounds of primitive variables – density and velocity. In numerical simulations(More)
Most efficient adaptive mesh methods employ only a few strategies, including local mesh refinement (h-adaptation), movement of mesh nodes (r-adaptation), and node reconnection (c-adaptation). Despite of its simplicity , node reconnection is the least popular of the three. However, using only node reconnection the discretization error can be significantly(More)
This work is focused on the issue of symmetry preservation, energy and volume conservation and other important properties of staggered Lagrangian hydrodynamic schemes in cylindrical geometry. Typical advantages and drawbacks of existing area-weighted (AW) and genuinely r-z schemes will be pointed out. With quadrilateral cells it is known that, in r-z,(More)
SUMMARY The aim of the present work is the 3D extension of a general formalism to derive a staggered discretiza-tion for Lagrangian hydrodynamics on unstructured grids. The classical compatible discretization is used; namely, momentum equation is discretized using the fundamental concept of subcell forces. Specific internal energy equation is obtained using(More)