Mikhail Shashkov
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View article: One-Dimensional Multi-Velocity Capabilities for Arbitrary Lagrangian-Eulerian Normal Contact Mechanics
One-Dimensional Multi-Velocity Capabilities for Arbitrary Lagrangian-Eulerian Normal Contact Mechanics Open
View article: Optimization of the artificial viscosity in Lagrangian staggered discretization codes. Modeling 1D stand-alone shock - case study
Optimization of the artificial viscosity in Lagrangian staggered discretization codes. Modeling 1D stand-alone shock - case study Open
We have developed new measures of errors for numerical shock. The new approach is based on analysis of the structure function, and separation of the errors related to oscillations and shock width, which also include error in the position o…
View article: Overset Mesh Method for Arbitrary Lagrangian Eulerian Contact on Unstructured General Polyhedral Meshes
Overset Mesh Method for Arbitrary Lagrangian Eulerian Contact on Unstructured General Polyhedral Meshes Open
We present an overset mesh method for Arbitrary Lagrangian Eulerian (ALE) hydrodynamic contact on unstructured polyhedral meshes in the FLAG hydrocode at LANL. This capability enables simulations of contact and sliding between materials wh…
View article: Multi-part intersection-based remap for discontinuous numerical fields.
Multi-part intersection-based remap for discontinuous numerical fields. Open
View article: Multi-material remap for staggered discretization
Multi-material remap for staggered discretization Open
View article: 2D multi-material ALE methods
2D multi-material ALE methods Open
View article: A finite volume Lagrange approach for computing elasto-plastic deformation of solids on general unstructured grids
A finite volume Lagrange approach for computing elasto-plastic deformation of solids on general unstructured grids Open
View article: 20 Years of US/Russian Laboratory Cooperation in Science and Technology 1992-2012 (U)
20 Years of US/Russian Laboratory Cooperation in Science and Technology 1992-2012 (U) Open
View article: A cell-centered Lagrangian hydrodnamics method for multi-dimensional unstructured grids in curvilinear coordinates with solid constitutive models
A cell-centered Lagrangian hydrodnamics method for multi-dimensional unstructured grids in curvilinear coordinates with solid constitutive models Open
View article: A framework for developing a mimetic tensor artificial viscosity for Lagrangian hydrocodes on arbitrary polygonal and polyhedral meshes (u)
A framework for developing a mimetic tensor artificial viscosity for Lagrangian hydrocodes on arbitrary polygonal and polyhedral meshes (u) Open
We construct a new mimetic tensor artificial viscosity on general polygonal and polyhedral meshes. The tensor artificial viscosity is based on a mimetic discretization of coordinate invariant operators, divergence of a tensor and gradient …
View article: Using Isogeometric Analysis to Model Cylindrical Shock Hydrodynamics
Using Isogeometric Analysis to Model Cylindrical Shock Hydrodynamics Open
View article: Interface-aware sub-scale dynamics closure model
Interface-aware sub-scale dynamics closure model Open
View article: A Finite Volume Lagrangian Cell Centered Mimetic Approach for Computing Elasto-plastic Deformation of Solids in General Unstructured Grid
A Finite Volume Lagrangian Cell Centered Mimetic Approach for Computing Elasto-plastic Deformation of Solids in General Unstructured Grid Open
View article: Exploration of a cell-centered Lagrangian hydrodynamics method
Exploration of a cell-centered Lagrangian hydrodynamics method Open
View article: A Finite Volume Lagrangian Cell Centered Mimetic Approach for Computing Elasto-plastic Deformation of Solids in General Unstructured Grids
A Finite Volume Lagrangian Cell Centered Mimetic Approach for Computing Elasto-plastic Deformation of Solids in General Unstructured Grids Open
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View article: Optimization Based Reference Matrix Rezone Strategies for Arbitrary Lagrangian-Eulerian Methods on Unstructured Grids
Optimization Based Reference Matrix Rezone Strategies for Arbitrary Lagrangian-Eulerian Methods on Unstructured Grids Open
The objective of the Arbitrary Lagrangian-Eulerian (ALE) methodology for solving multidimensional fluid flow problems is to move the computational mesh, using the flow as a guide, to improve the robustness, accuracy and efficiency of the s…
View article: A pressure relaxation closure model for one-dimensional, two-material Lagrangian hydrodynamics based on the Riemann problem
A pressure relaxation closure model for one-dimensional, two-material Lagrangian hydrodynamics based on the Riemann problem Open
Despite decades of development, Lagrangian hydrodynamics of strengthfree materials presents numerous open issues, even in one dimension. We focus on the problem of closing a system of equations for a two-material cell under the assumption …
View article: The discrete maximum principle for finite element approximations of anisotropic diffusion problems on arbitrary meshes
The discrete maximum principle for finite element approximations of anisotropic diffusion problems on arbitrary meshes Open
A new approach to the design of constrained finite element approximations to second-order elliptic problems is introduced. This approach guarantees that the finite element solution satisfies the discrete maximum principle (DMP). To enforce…
View article: Compatible, energy and symmetry preserving 2D Lagrangian hydrodynamics in rz-cylindrical coordinates
Compatible, energy and symmetry preserving 2D Lagrangian hydrodynamics in rz-cylindrical coordinates Open
We present a new discretization for 2D Lagrangian hydrodynamics in rz geometry (cylindrical coordinates) that is compatible, energy conserving and symmetry preserving. We describe discretization of the basic Lagrangian hydrodynamics equati…
View article: Thirty years at LANL - case study [Slides]
Thirty years at LANL - case study [Slides] Open
Outline: Different perspective on interface reconstruction; Moments-based interface reconstruction - moment of fluid (MOF), MOF2; Moments and their meaning, reference ellipse; Examples of reconstruction in one cell; Interface re…
View article: Multi-Plane Moment-of-Fluid Interface Reconstruction in 3d
Multi-Plane Moment-of-Fluid Interface Reconstruction in 3d Open
View article: High-Fidelity 2d Interface Reconstruction from High-Order Moments
High-Fidelity 2d Interface Reconstruction from High-Order Moments Open
View article: An adaptive moments-based interface reconstruction using intersection of the cell with one half-plane, two half-planes and a circle
An adaptive moments-based interface reconstruction using intersection of the cell with one half-plane, two half-planes and a circle Open
View article: Moments-based interface reconstruction, remap and advection [Slides]
Moments-based interface reconstruction, remap and advection [Slides] Open
cell-compliments. Interface reconstruction is formulated as a local (for each cell), non-linear, equality constrained optimization problem, which does not require additional communication and allows for an efficient parallel implementation…
View article: Moments-based interface reconstruction, remap and advection
Moments-based interface reconstruction, remap and advection Open
View article: Conservative high-order data transfer method on generalized polygonal meshes
Conservative high-order data transfer method on generalized polygonal meshes Open
View article: Multi-material swept face remapping on polyhedral meshes
Multi-material swept face remapping on polyhedral meshes Open
View article: Remapping between meshes with isoparametric cells: a case study
Remapping between meshes with isoparametric cells: a case study Open
We explore an intersection-based remap method between meshes consisting of isoparametric elements. We present algorithms for the case of serendipity isoparametric elements (QUAD8 elements) and piece-wise constant (cell-centered) discrete f…
View article: Moments-based interface reconstruction, remap and advection
Moments-based interface reconstruction, remap and advection Open
We present a new moment-of-fluid (MOF2) interface reconstruction method. It uses the zeroth, first, and second moments of the fragment of material inside a cell of the mesh to reconstruct a convex material polygon or a union of …
View article: Optimization of artificial viscosity in production codes based on Gaussian Regression surrogate models
Optimization of artificial viscosity in production codes based on Gaussian Regression surrogate models Open
To accurately model flows with shock waves using staggered-grid Lagrangian hydrodynamics, artificial viscosity has to be introduced to convert kinetic energy into internal energy, thereby increasing the entropy across shocks. Determining t…