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Advances in Tetrahedral Shock Hydrodynamics Methods for Lagrangian and ALE Computations in Complex Geometry

Tuesday, February 1, 1:15PM
ACES 6.304

Guglielmo Scovazzi

This talk will report advances toward a tetrahedral shock hydrodynamics computational framework for fluid-structure interaction applications in complex geometry. A new, variational multiscale stabilized formulation Lagrangian shock hydrodynamics is presented. To the author's knowledge, it is the only hydrocode that can accurately compute highly unsteady shock hydrodynamics transients on triangular/tetrahedral meshes in two/three dimensions, as well as the commonly used quadrilateral/hexahedral meshes. Piecewise linear, equal-order interpolation is adopted for velocities, displacements, and thermodynamic variables. This last aspect makes the current formulation insensitive to the typical pathologies affecting standard hydrocodes (hourglass on quadrilateral or hexahedral meshes, and artificial stiffness on triangular or tetrahedral meshes). The roles of the Darcy and Stokes problems in the context of Lagrangian hydrodynamics and transient dynamics will also be discussed, with particular emphasis to the imposition of boundary conditions. Numerical tests for the unsteady Euler equations of gas dynamics are presented in two and three dimensions. Advances and future directions in terms of ALE and fluid-structure interaction problems will also be presented.

References: [1] G. Scovazzi, J.N. Shadid, E. Love, and W.J. Rider, "A conservative nodal variational multiscale method for Lagrangian shock hydrodynamics", Computer Method in Applied Mechanics and Engineering, Volume 199, Issues 49‐52, 15 December 2010, pp. 3059‐3100. [2] A. Lopez Ortega and G. Scovazzi, "A geometrically-conservative, synchronized, flux-corrected remap for arbitrary Lagrangian-Eulerian computations with nodal finite elements", submitted, Journal of Computational Physics, 2010.

Biographical Sketch: Dr. Guglielmo Scovazzi is a Senior Member of the Technical Staff at Sandia National Laboratories, Albuquerque (NM). Prior to joining Sandia in 2004, he completed a M.S. and Ph.D. at Stanford University under the supervision of Prof. Thomas J.R. Hughes and a B.S./M.S. in Aerospace Engineering at Politecnico di Torino (Italy). During his Ph.D. studies, he was also a research visitor at ICES, University of Texas at Austin.

Dr. Scovazzi’s expertise is in computational methods for shock physics, fluid mechanics, turbulence, and porous media flow applications. He received two “Sandia Award for Excellence” for his work in advanced algorithms for shock hydrodynamics, and is a member of the editorial board of the International Journal of Numerical Methods in Fluids (IJNMF).

Host: T. Hughes