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Two-dimensional direct numerical simulations of planar laminar premixed ammonia/hydrogen/air flames are conducted for a wide range of equivalence ratios, hydrogen ($\rm H_2$) fractions in the fuel blend, pressures, and unburned temperatures…

Recent advancements in the integration of artificial intelligence (AI) and machine learning (ML) with physical sciences have led to significant progress in addressing complex phenomena governed by nonlinear partial differential equations…

Machine Learning · Computer Science 2024-05-14 Rixin Yu , Erdzan Hodzic , Karl-Johan Nogenmyr

Eigenvalue analysis is a well-established tool for stability analysis of dynamical systems. However, there are situations where eigenvalues miss some important features of physical models. For example, in models of incompressible fluid…

Numerical Analysis · Mathematics 2017-10-23 Howard C. Elman , David J. Silvester

An unconfined strongly swirled flow is investigated for different Reynolds numbers using particle image velocimetry (PIV) and Large Eddy Simulation (LES) with a Thickened Flame (TF) model. Both reacting and non-reacting flow results are…

Fluid Dynamics · Physics 2021-03-05 Ashoke De , Shengrong Zhu , Sumanta Acharya

Motion in the atmosphere or mantle convection are two among phenomena of natural convection induced by internal heat sources. They bifurcate from the conduction state as a result of its loss of stability. In spite of their importance, due…

Mathematical Physics · Physics 2007-05-23 Ioana Dragomirescu , Adelina Georgescu

Direct Numerical Simulations (DNS) of premixed hydrogen-air flames anchored in a fully-developed turbulent channel flow (TCF) are performed at a friction Reynolds number of $\mathrm{Re}_\tau=530$ and thermochemical conditions susceptible to…

Fluid Dynamics · Physics 2025-12-01 Felix Rong , Max Schneider , Hendrik Nicolai , Christian Hasse , Andrea Gruber

Diffusion flame streets, observed in non-premixed micro-combustion devices, align parallel to a shear flow. They are observed to occur in mixtures with high Lewis number ($Le$) fuels, provided that the flow Reynolds number, or the Peclet…

Fluid Dynamics · Physics 2024-07-03 Prabakaran Rajamanickam , Aiden Kelly , Joel Daou

Eigenvalue perturbation theory is applied to justify using complex-valued linear scalar test equations to characterize the stability of implicit-explicit general linear methods (IMEX GLMs) solving autonomous linear ordinary differential…

Numerical Analysis · Mathematics 2019-08-15 Andrew J. Steyer

Understanding how intrinsically fast hydrogen-air premixed flames can be rendered much faster in turbulence is crucial for systematically developing hydrogen-based gas turbines and spark ignition engines. Here, we present fundamental…

Fluid Dynamics · Physics 2025-01-30 Yuvraj , Hong G. Im , Swetaprovo Chaudhuri

Streamer ionization fronts are pulled fronts propagating into a linearly unstable state; the spatial decay of the initial condition of a planar front selects dynamically one specific long time attractor out of a continuous family. A…

Pattern Formation and Solitons · Physics 2009-11-13 Gianne Derks , Ute Ebert , Bernard Meulenbroek

An eigenvalue based framework is developed for the stability analysis and stabilization of coupled systems with time-delays, which are naturally described by delay differential algebraic equations. The spectral properties of these equations…

Systems and Control · Electrical Eng. & Systems 2020-03-26 Wim Michiels , Suat Gumussoy

Steady premixed flames subjected to space-periodic steady forcing are studied via inhomogeneous Michelson-Sivashinsky (MS) and then Burgers equations. For both, the flame slope is posited to comprise contributions from complex poles to…

Pattern Formation and Solitons · Physics 2014-06-04 Guy Joulin , Bruno Denet

Combustion instability in gas turbines and rocket engines, as one of the most challenging problems in combustion research, arises from the complex interactions among flames, which are also influenced by chemical reactions, heat and mass…

Machine Learning · Computer Science 2024-11-26 Weiming Xu , Tao Yang , Peng Zhang

The addition of hydrogen in ammonia/air mixtures can lead to the onset of intrinsic flame instabilities at conditions of technical relevance. The length and time scales of intrinsic instabilities can be estimated by means of linear…

Fluid Dynamics · Physics 2023-11-29 F. D'Alessio , P. E. Lapenna , F. Creta

A new premixed turbulent combustion model is proposed. It is based on one-dimensional (1D) filtering of density times progress variable and of the reaction source term of laminar premixed flame profiles using a filter kernel which reflects…

Fluid Dynamics · Physics 2021-12-21 Michael Pfitzner , Junsu Shin , Markus Klein

We explore numerically the morphological patterns of thermo-diffusive instabilities in combustion fronts with a continuum fuel source, within a range of Lewis numbers and ignition temperatures, focusing on the cellular regime. For this…

Fluid Dynamics · Physics 2017-03-08 Hossein Azizi , Sebastian Gurevich , Nikolas Provatas

Localized patterns are spatially confined structures that arise in lattice dynamical systems and play an important role in physics, biology, and materials science. While their existence and bifurcation structure are well-understood, the…

Pattern Formation and Solitons · Physics 2026-05-14 Bocheng Ruan , Jack M. Hughes , Jason J. Bramburger

Hydrogen combustion systems operated under fuel-lean conditions offer great potential for low emissions. However, these operating conditions are also susceptible to intrinsic thermodiffusive combustion instabilities. Even though technical…

Fluid Dynamics · Physics 2025-07-14 Max Schneider , Hendrik Nicolai , Vinzenz Schuh , Matthias Steinhausen , Christian Hasse

The dynamics of flame propagation in systems with infinite Lewis number and spatially discretized sources of heat release is examined, which is applicable to the combustion of suspensions of fuel particles in air. The system is analyzed…

Fluid Dynamics · Physics 2016-06-14 XiaoCheng Mi , Andrew J. Higgins , Samuel Goroshin , Jeffrey M. Bergthorson

Combustion instabilities are a major concern in the design of Liquid Rocket Engines (LREs) and gas turbines. During this PhD work, several directions were explored to understand and mitigate their effects. First, more efficient and robust…

Fluid Dynamics · Physics 2021-03-02 Charlelie Laurent