English
Related papers

Related papers: Using approximate inertial manifold approach to mo…

200 papers

The invariant manifold approach is used to explore the dynamics of a nonlinear rotor, by determining the nonlinear normal modes, constructing a reduced order model and evaluating its performance in the case of response to an initial…

Classical Physics · Physics 2012-09-28 Cristiano Villa , Jean-Jacques Sinou , Fabrice Thouverez

Reactive flows in confined spaces involve complex flame-wall interaction (FWI). This work aims to gain more insights into the physics of the premixed near-wall flame and the wall heat flux as an important engineering relevant quantity. Two…

Fluid Dynamics · Physics 2025-10-31 Kunlin Li , Chenlin Guo , Zhaofan Zhu , Haiou Wang , Lipo Wang

Self-excited spinning mode azimuthal instability in an annular combustor with non-swirling flow is investigated using large eddy simulation (LES). Compressible Navier-Stoke equations are solved with a flamelet combustion model to describe…

Efficiently reducing models of chemically reacting flows is often challenging because their characteristic features such as sharp gradients in the flow fields and couplings over various time and length scales lead to dynamics that evolve in…

Numerical Analysis · Mathematics 2022-09-16 Wayne Isaac Tan Uy , Christopher R. Wentland , Cheng Huang , Benjamin Peherstorfer

The most widely used model for granular gases is perhaps the inelastic hard-sphere model (IHSM), where the grains are assumed to be perfectly smooth spheres colliding with a constant coefficient of normal restitution. A much more tractable…

Soft Condensed Matter · Physics 2022-09-09 Gilberto M. Kremer , Andrés Santos

Modeling of turbulent combustion system requires modeling the underlying chemistry and the turbulent flow. Solving both systems simultaneously is computationally prohibitive. Instead, given the difference in scales at which the two…

Machine Learning · Computer Science 2022-02-22 Amol Salunkhe , Dwyer Deighan , Paul DesJardin , Varun Chandola

The numerical simulation of realistic reactive flows is a major challenge due to the stiffness and high dimension of the corresponding kinetic differential equations. Manifold-based model reduction techniques address this problem by…

Dynamical Systems · Mathematics 2026-01-06 Jörn Dietrich , Dirk Lebiedz

High-dimensional recordings of dynamical processes are often characterized by a much smaller set of effective variables, evolving on low-dimensional manifolds. Identifying these latent dynamics requires solving two intertwined problems:…

Machine Learning · Computer Science 2026-01-21 Manuel Hinz , Maximilian Mauel , Patrick Seifner , David Berghaus , Kostadin Cvejoski , Ramses J. Sanchez

Flame instabilities play a dominant role in accelerating the burning front to a large fraction of the speed of sound in a Type Ia supernova. We present a three-dimensional numerical simulation of a Rayleigh-Taylor unstable carbon flame,…

Astrophysics · Physics 2009-11-10 M. Zingale , S. E. Woosley , C. A. Rendleman , M. S. Day , J. B. Bell

A non-perturbative approach to the time-averaging of nonlinear, autonomous ODE systems is developed based on invariant manifold methodology. The method is implemented computationally and applied to model problems arising in the mechanics of…

Numerical Analysis · Mathematics 2009-11-11 Amit Acharya , Aarti Sawant

This paper presents a novel methodology for the direct numerical modeling and simulation of turbulent flows. The kinetic model equation is firstly extended to turbulent flow with the account of coupled evolution of kinetic, thermal, and…

Computational Physics · Physics 2025-03-11 Xiaojian Yang , Kun Xu

Monitoring the dynamics processes in combustors is crucial for safe and efficient operations. However, in practice, only limited data can be obtained due to limitations in the measurable quantities, visualization window, and temporal…

Fluid Dynamics · Physics 2021-07-27 Xingyu Su , Weiqi Ji , Long Zhang , Wantong Wu , Zhuyin Ren , Sili Deng

A high-pressure hydrogen micromix combustor has been investigated using direct numerical simulation with detailed chemistry to examine the flame structure and stabilisation mechanism. The configuration of the combustor was based on the…

This rapid communication devises a Neural Induction Machine (NeuIM) model, which pilots the use of physics-informed machine learning to enable AI-based electromagnetic transient simulations. The contributions are threefold: (1) a formation…

Machine Learning · Computer Science 2023-10-02 Qing Shen , Yifan Zhou , Peng Zhang

The Lagrangian point of view is adopted to study turbulent premixed combustion. The evolution of the volume fraction of combustion products is established by the Reynolds transport theorem. It emerges that the burned-mass fraction is led by…

Statistical Mechanics · Physics 2011-07-29 Gianni Pagnini , Ernesto Bonomi

Simulating nonlinear reaction-diffusion dynamics on complex, non-Euclidean manifolds remains a fundamental challenge in computational morphogenesis, constrained by high-fidelity mesh generation costs and symplectic drift in discrete…

Machine Learning · Computer Science 2026-03-24 Julian Evan Chrisnanto , Salsabila Rahma Alia , Nurfauzi Fadillah , Yulison Herry Chrisnanto

Axisymmetric simulations of a liquid rocket engine are performed using a delayed detached-eddy-simulation (DDES) turbulence model with the Compressible Flamelet Progress Variable (CFPV) combustion model. Three different pressure instability…

Fluid Dynamics · Physics 2018-03-02 Tuan Nguyen , William A. Sirignano

We present the "First Light Advanced Ignition Model" (FLAIM), a reduced model for the implosion, adiabatic compression, volume ignition and thermonuclear burn of a spherical DT fuel capsule utilising a high-Z metal pusher. FLAIM is…

The dynamics of compressible liquid-vapor flow depends sensitively on the microscale behavior at the phase boundary. We consider a sharp-interface approach, and propose a multiscale model to describe liquid-vapor flow accurately, without…

Numerical Analysis · Mathematics 2022-09-14 Jim Magiera , Christian Rohde

Numerical simulations of contaminant dispersion, as after a gas leakage incident on a chemical plant, can provide valuable insights for both emergency response and preparedness. Simulation approaches combine incompressible Navier-Stokes…

Computational Engineering, Finance, and Science · Computer Science 2026-03-05 Lisa Kühn , Jacopo Bonari , Max von Danwitz , Alexander Popp