Efficient and Robust High-Order Methods for Fluid and Solid Mechanics

Abstract

The goal of the project was to develop new numerical schemes and solvers for high-order accurate simulations of problems in fluid and solid mechanics. Three main areas were addressed - space-time methods for domains with large deformations, implicit matrix-free solvers for sparse line-based discretizations, and applications to problems with highly turbulent flow. The project has led to significant developments in space-time mesh generation for complex flow problems, entropy stable line-based discontinuous Galerkin discretizations, low-memory Kronecker SVD factorizations applied to preconditioning, practical solvers for fully implicit Runge-Kutta methods, partitioned multiphysics solvers based on IMEX schemes, and new high-order schemes for shock tracking. The results were applied to important real-world problems, such as the high-order simulation of shock boundary-layer interaction. The findings were disseminated through a wide range of publications, presentations, and public domain software.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 2019
Accession Number
AD1085857

Entities

People

  • Per-olof Persson

Organizations

  • University of California, Berkeley

Tags

Communities of Interest

  • Energy and Power Technologies
  • Space

DTIC Thesaurus Topics

  • Boundary Layer
  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Euler Equations
  • Fluid Dynamics
  • Fluid Flow
  • Large Eddy Simulation
  • Mechanical Properties
  • Mechanics
  • Navier Stokes Equations
  • Numerical Analysis
  • Numerical Methods And Procedures
  • Physics Laboratories
  • Turbulent Flow
  • Vertical-Axis Wind Turbines
  • Viscous Flow

Readers

  • Computational Fluid Dynamics (CFD)
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)

Technology Areas

  • Space