Search Results - "Shashkov, M. J."

A constrained finite element method satisfying the discrete maximum principle for anisotropic diffusion problems by Kuzmin, D., Shashkov, M.J., Svyatskiy, D.

“…Nonlinear constrained finite element approximations to anisotropic diffusion problems are considered. Starting with a standard (linear or bilinear) Galerkin…”
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Multi-scale Lagrangian shock hydrodynamics on Q1/P0 finite elements: Theoretical framework and two-dimensional computations by Scovazzi, G., Love, E., Shashkov, M.J.

“…A new multi-scale, stabilized method for Q1/P0 finite element computations of Lagrangian shock hydrodynamics is presented. Instabilities (of hourglass type)…”
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A Tensor Artificial Viscosity Using a Mimetic Finite Difference Algorithm by Campbell, J.C., Shashkov, M.J.

“…We have developed a two-dimensional tensor artificial viscosity for finite difference shock wave computations. The discrete viscosity tensor is formed by…”
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The internal consistency, stability, and accuracy of the discrete, compatible formulation of Lagrangian hydrodynamics by Bauer, A.L., Burton, D.E., Caramana, E.J., Loubère, R., Shashkov, M.J., Whalen, P.P.

“…This work explores the somewhat subtle meaning and consequences of the salient properties of the discrete, compatible formulation of Lagrangian hydrodynamics…”
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The Construction of Compatible Hydrodynamics Algorithms Utilizing Conservation of Total Energy by Caramana, E.J., Burton, D.E., Shashkov, M.J., Whalen, P.P.

“…The principal goal of all numerical algorithms is to represent as faithfully and accurately as possible the underlying continuum equations to which a numerical…”
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Formulations of Artificial Viscosity for Multi-dimensional Shock Wave Computations by Caramana, E.J., Shashkov, M.J., Whalen, P.P.

“…In this paper we present a new formulation of the artificial viscosity concept. Physical arguments for the origins of this term are given and a set of criteria…”
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Elimination of Artificial Grid Distortion and Hourglass-Type Motions by Means of Lagrangian Subzonal Masses and Pressures by Caramana, E.J., Shashkov, M.J.

“…The bane of Lagrangian hydrodynamics calculations is the premature breakdown of grid topology that results in severe degradation of accuracy and run…”
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Isogeometric analysis of Lagrangian hydrodynamics: Axisymmetric formulation in the rz-cylindrical coordinates by Bazilevs, Y., Long, C.C., Akkerman, I., Benson, D.J., Shashkov, M.J.

“…A recent Isogeometric Analysis (IGA) formulation of Lagrangian shock hydrodynamics [4] is extended to the 3D axisymmetric case. The Euler equations of…”
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A cell-centered Lagrangian Godunov-like method for solid dynamics by Burton, D.E., Carney, T.C., Morgan, N.R., Sambasivan, S.K., Shashkov, M.J.

“…This work presents a spatially and temporally second-order cell-centered Lagrangian formulation (CCH) suitable for elasto-plastic materials on unstructured…”
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A comparative study of various pressure relaxation closure models for one-dimensional two-material Lagrangian hydrodynamics by Kamm, J. R., Shashkov, M. J., Fung, J., Harrison, A. K., Canfield, T. R.

“…Lagrangian hydrodynamics of strength‐free materials continues to present open issues, even in one dimension. We focus on the problem of closing a system of…”
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Isogeometric analysis of Lagrangian hydrodynamics by Bazilevs, Y., Akkerman, I., Benson, D.J., Scovazzi, G., Shashkov, M.J.

“…Isogeometric analysis of Lagrangian shock hydrodynamics is proposed. The Euler equations of compressible hydrodynamics in the weak form are discretized using…”
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A comparative study of multimaterial Lagrangian and Eulerian methods with pressure relaxation by Francois, M.M., Shashkov, M.J., Masser, T.O., Dendy, E.D.

“…We compare various Lagrangian and Eulerian hydrodynamics methods for two-material compressible flow. We investigate staggered and cell-centered Lagrangian…”
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Mimetic finite difference operators for second-order tensors on unstructured grids by Campbell, J.C., Hyman, J.M., Shashkov, M.J.

“…We use the support operators method to derive discrete approximations for the gradient of a vector and divergence of a tensor on unstructured grids in two…”
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Triangular and quadrilateral surface mesh quality optimization using local parametrization by Garimella, Rao V., Shashkov, Mikhail J., Knupp, Patrick M.

“…A procedure is presented to improve the quality of surface meshes while maintaining the essential characteristics of the discrete surface. The surface…”
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The sensitivity and accuracy of fourth order finite-difference schemes on nonuniform grids in one dimension by Castillo, J.E., Hyman, J.M., Shashkov, M.J., Steinberg, S.

“…We construct local fourth-order finite difference approximations of first and second derivatives, on nonuniform grids, in one dimension. The approximations are…”
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A subcell remapping method on staggered polygonal grids for arbitrary-Lagrangian–Eulerian methods by Loubère, Raphaël, Shashkov, Mikhail J.

“…We describe a new remapping algorithm for use in arbitrary Lagrangian–Eulerian (ALE) simulations. The new features of this remapper are designed to complement…”
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Exploration of new limiter schemes for stress tensors in Lagrangian and ALE hydrocodes by Sambasivan, Shiv Kumar, Shashkov, Mikhail J., Burton, Donald E.

“…Limiter schemes are chiefly responsible for making high-resolution computations realizable in Lagrangian, Eulerian and ALE hydrocodes. Robust limiter schemes…”
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Multi-material pressure relaxation methods for Lagrangian hydrodynamics by Yanilkin, Yury V., Goncharov, Evgeny A., Kolobyanin, Vadim Yu, Sadchikov, Vitaly V., Kamm, James R., Shashkov, Mikhail J., Rider, William J.

“…In Arbitrary Lagrangian–Eulerian (ALE) methods for hydrodynamics with several materials, multiple-material Lagrangian cells invariably arise when the flow…”
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A new pressure relaxation closure model for one-dimensional two-material Lagrangian hydrodynamics by Soulard, Laurent, Kamm, J.R., Shashkov, M.J., Rider, W.J.

“…We present a new model for closing a system of Lagrangian hydrodynamics equations for a two-material cell with a single velocity model. We describe a new…”
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Development of a sub-scale dynamics model for pressure relaxation of multi-material cells in Lagrangian hydrodynamics by Soulard, Laurent, Harrison, A.K., Shashkov, M.J., Fung, J., Kamm, J.R., Canfield, T.R.

“…We have extended the Sub-Scale Dynamics (SSD) closure model for multi-fluid computational cells. Volume exchange between two materials is based on the…”
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