Reduced order models for Lagrangian hydrodynamics
DOI10.1016/j.cma.2021.114259OpenAlexW3213342924WikidataQ115063437 ScholiaQ115063437MaRDI QIDQ2060169
Dylan Matthew Copeland, Kevin Huynh, Siu Wun Cheung, Youngsoo Choi
Publication date: 13 December 2021
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.11404
compressible flowhydrodynamicsreduced order modelLagrangian methodshyper-reductionadvection-dominated problems
Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)
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Cites Work
- Discrete models for fluid-structure interactions: the finite element immersed boundary method
- Nonlinear model reduction for the Navier-Stokes equations using residual DEIM method
- The GNAT method for nonlinear model reduction: effective implementation and application to computational fluid dynamics and turbulent flows
- Efficient estimation of cardiac conductivities via POD-DEIM model order reduction
- A practical factorization of a Schur complement for PDE-constrained distributed optimal control
- A two-dimensional unstructured cell-centered multi-material ALE scheme using VOF interface reconstruction
- Enablers for robust POD models
- An efficient, accurate, simple ALE method for nonlinear finite element programs
- Reconstructing phase space from PDE simulations
- An algorithmic comparison of the hyper-reduction and the discrete empirical interpolation method for a nonlinear thermal problem
- POD/DEIM reduced-order modeling of time-fractional partial differential equations with applications in parameter identification
- Reduced-order subscales for POD models
- A mass conservative scheme for fluid-structure interaction problems by the staggered discontinuous Galerkin method
- Reduced order modeling based shape optimization of surface acoustic wave driven microfluidic biochips
- Data-driven variational multiscale reduced order models
- Lagrangian dynamic mode decomposition for construction of reduced-order models of advection-dominated phenomena
- Gradient-based constrained optimization using a database of linear reduced-order models
- Space-time reduced order model for large-scale linear dynamical systems with application to Boltzmann transport problems
- Implementation and detailed assessment of a GNAT reduced-order model for subsurface flow simulation
- Model reduction of dynamical systems on nonlinear manifolds using deep convolutional autoencoders
- Component-wise reduced order model lattice-type structure design
- Domain-decomposition least-squares Petrov-Galerkin (DD-LSPG) nonlinear model reduction
- On the comparison of LES data-driven reduced order approaches for hydroacoustic analysis
- Windowed space-time least-squares Petrov-Galerkin model order reduction for nonlinear dynamical systems
- Machine learning closures for model order reduction of thermal fluids
- Generalized multiscale multicontinuum model for fractured vuggy carbonate reservoirs
- POD-DEIM based model order reduction for the spherical shallow water equations with Turkel-Zwas finite difference discretization
- Conservative model reduction for finite-volume models
- POD/DEIM nonlinear model order reduction of an ADI implicit shallow water equations model
- POD and CVT-based reduced-order modeling of Navier-Stokes flows
- A New Selection Operator for the Discrete Empirical Interpolation Method---Improved A Priori Error Bound and Extensions
- A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems
- Efficient non-linear model reduction via a least-squares Petrov-Galerkin projection and compressive tensor approximations
- Adaptiveh-refinement for reduced-order models
- Nonlinear Model Reduction via Discrete Empirical Interpolation
- Large‐Scale Inverse Problems and Quantification of Uncertainty
- The Discrete Empirical Interpolation Method: Canonical Structure and Formulation in Weighted Inner Product Spaces
- On the theory of semi-implicit projection methods for viscous incompressible flow and its implementation via a finite element method that also introduces a nearly consistent mass matrix. Part 2: Implementation
- The immersed boundary method
- Large-scale topology optimization using preconditioned Krylov subspace methods with recycling
- A priori estimation of memory effects in reduced-order models of nonlinear systems using the Mori–Zwanzig formalism
- Transport Reversal for Model Reduction of Hyperbolic Partial Differential Equations
- The Shifted Proper Orthogonal Decomposition: A Mode Decomposition for Multiple Transport Phenomena
- Space--Time Least-Squares Petrov--Galerkin Projection for Nonlinear Model Reduction
- A Survey of Model Reduction by Balanced Truncation and Some New Results
- Lagrangian measurement of vorticity dynamics in turbulent flow
- Galerkin Proper Orthogonal Decomposition Methods for a General Equation in Fluid Dynamics
- Efficient Algorithms for Computing a Strong Rank-Revealing QR Factorization
- High-Order Curvilinear Finite Element Methods for Lagrangian Hydrodynamics
- Space-time registration-based model reduction of parameterized one-dimensional hyperbolic PDEs
- SNS: A Solution-Based Nonlinear Subspace Method for Time-Dependent Model Order Reduction
- Application of POD-DEIM Approach for Dimension Reduction of a Diffusive Predator-Prey System with Allee Effect
- Model Reduction for Transport-Dominated Problems via Online Adaptive Bases and Adaptive Sampling
- Transformed Snapshot Interpolation with High Resolution Transforms
- Non‐linear model reduction for uncertainty quantification in large‐scale inverse problems
- On the need for a nonlinear subscale turbulence term in POD models as exemplified for a high-Reynolds-number flow over an Ahmed body
- Invariant Domains Preserving Arbitrary Lagrangian Eulerian Approximation of Hyperbolic Systems with Continuous Finite Elements
- An arbitrary Lagrangian-Eulerian computing method for all flow speeds
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