Applications of Model Reduction Techniques in Aerospace Combustors

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In this thesis, we propose model order reduction techniques for high-dimensional PDEs that preserve structures of the original problems and develop a closure modeling framework leveraging the Mori-Zwanzig formalism and recurrent neural networks. Since high ...

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In the past decade, model order reduction (MOR) has been successful in reducing the computational complexity of elliptic and parabolic systems of partial differential equations (PDEs). However, MOR of hyperbolic equations remains a challenge. Symmetries an ...

During the past decade, model order reduction (MOR) has been successfully applied to reduce the computational complexity of elliptic and parabolic systems of partial differential equations (PDEs). However, MOR of hyperbolic equations remains a challenge. S ...

While reduced-order models (ROMs) are popular for approximately solving large systems of differential equations, the stability of reduced models over long-time integration remains an open question. We present a greedy approach for ROM generation of paramet ...

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Applications of Model Reduction Techniques in Aerospace Combustors

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Design, computational and experimental investigation of a small-scale turbopump for organic Rankine cycle systems

Symmetry-reduced low-dimensional representation of large-scale dynamics in the asymptotic suction boundary layer

Structure-preserving approaches and data-driven closure modeling for model order reduction

Tensor-Based Numerical Method For Stochastic Homogenization

On the Capability of Wall-Modeled Large Eddy Simulations to Predict Particle Dispersion in Complex Turbulent Flows

Flow Time Scheduling and Prefix Beck-Fiala

Reduction techniques for PDEs built upon Reduced Basis and Domain Decomposition Methods with applications to hemodynamics

Comparison of Reduced-Basis techniques for the model order reduction of parametric incompressible fluid flows

GPU-accelerated Pelton turbine simulation using finite volume particle method coupled with linear eddy viscosity models

Conservative Model Order Reduction for Fluid Flow

Geometric Model Order Reduction

Structure preserving model reduction of parametric Hamiltonian systems

Large eddy simulations for blood dynamics in realistic stenotic carotids

Impact of rotating and fixed nozzles on vortex breakdown in compressible swirling jet flows

Efficient Statistical Parameter Selection for Nonlinear Modeling of Process/Performance Variation

Approximation numérique des écoulements turbulents dans des cuves d'électrolyse de l'aluminium

Geometric multiscale modeling of the cardiovascular system, between theory and practice

Intercomparison of Terrain-Following Coordinate Transformation and Immersed Boundary Methods for Large-Eddy Simulation of Wind Fields over Complex Terrain

Dimension embedding for big data in radio interferometry

Large-Eddy Simulation of Very-Large-Scale Motions in the Neutrally Stratified Atmospheric Boundary Layer