Session: CIE-01-01 - AMS: Advanced Modeling and Simulation

Paper Number: 89562

89562 - Swage: A 3d Arbitrary-Order Element Mesh Library to Support Diverse Numerical Methods 

This paper presents the details on a new open-source swift arbitrary Lagrangian Eulerian (SWAGE) mesh software library that supports diverse numerical methods on unstructured, arbitrarily moving curvilinear meshes —from stationary (Eulerian) to moving at the fluid velocity (Lagrangian) and anywhere in between (arbitrary Eulerian Lagrangian). Each element of the unstructured mesh in the physical coordinate system is represented by a spatial map from a single reference element.  Foundational numerical methods are provided in the reference element that are key to solving diverse types of physical equations and calculating geometric quantities.  A large set of index spaces in the physical coordinate space and the reference coordinate space are provided in SWAGE and the companion reference element type library respectively.  Mesh connectivity data structures are provided to access various index spaces or a neighboring index on the physical mesh or within the reference element.  The SWAGE mesh library supports continuous finite element, finite volume, and discontinuous Galerkin (DG) methods using arbitrary-order 3D curvilinear elements.  The SWAGE library fills an existing technology gap by supporting arbitrary-order 3D Lagrangian DG hydrodynamic methods, along with many other numerical methods and solvers.  The Lagrangian DG hydrodynamic method requires unique index spaces and very intricate mesh connectivity structures not currently available in other open-source libraries.  The details of the SWAGE library are presented in this paper along with examples and results.

Presenting Author: Nathaniel R. Morgan Los Alamos National Laboratory

Presenting Author Biography: Dr. Nathaniel Morgan is a senior scientist at Los Alamos National Laboratory (LANL) in the computational physics division. He holds a Ph.D. in Mechanical Engineering from Georgia Tech. He has worked at LANL for over 17 years as a staff scientist on a range of challenging and interesting projects. His research focuses on developing new Arbitrary Lagrangian Eulerian (ALE) hydrodynamic methods suitable for simulating multi-material, multi-physics problems on unstructured meshes, and on writing advanced scientific software that runs in parallel on modern computer architectures.

Authors:

Nathaniel R. Morgan Los Alamos National Laboratory
Jacob Moore Los Alamos National Laboratory
Jan Kiviaho Los Alamos National Laboratory
Adrian Diaz Los Alamos National Laboratory