- Hilbert's sixth problem: derivation of fluid equations via Boltzmann's kinetic theory
2025/03/03 by Yu Deng, Zaher Hani, Deng, Yu +3 · 28 voices · 13 citations
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Compressibility #Compressible flow #Euler equations #Euler system #Euler's formula #Extension (predicate logic) #Gas Dynamics and Kinetic Theory #Kinetic energy #Quantum Mechanics and Applications #Work (physics)
- Non-homogeneous anisotropic bulk viscosity for acoustic wave attenuation in weakly compressible methods
2024/03/06 by Dheeraj Raghunathan, Raghunathan, Dheeraj, Y. Sudhakar +1 · 2 citations
Earth and Planetary Sciences · Engineering · #Acoustic attenuation #Acoustics #Anisotropy #Attenuation #Compressibility #Computational Physics (physics.comp-ph) #FOS: Physical sciences #Flow Measurement and Analysis #Fluid Dynamics (physics.flu-dyn) #Homogeneous #Materials science #Mechanics #Optics #Physics #Thermodynamics #Ultrasonics and Acoustic Wave Propagation #Underwater Acoustics Research #Viscosity #Volume viscosity
- A discontinuous Galerkin pressure correction scheme for the incompressible Navier-Stokes equations: stability and convergence
2021/09/22 by Rami Masri, Masri, Rami, Chen Liu +3 · 1 citation
Engineering · Mathematics · #A priori and a posteriori #Advanced Numerical Methods in Computational Mathematics #Applied mathematics #Compressibility #Computational Fluid Dynamics and Aerodynamics #Computer science #Convergence (economics) #Discontinuous Galerkin method #FOS: Mathematics #Finite element method #Galerkin method #Mathematical analysis #Mathematics #Mechanics #Navier–Stokes equations #Numerical Analysis (math.NA) #Numerical analysis #Numerical methods for differential equations #Numerical stability #Physics #Pressure-correction method #Rate of convergence #Scheme (mathematics) #Stability (learning theory)
- Global existence and decay estimates of strong solutions for compressible non-isentropic magnetohydrodynamic flows with vacuum
2021/08/15 by Yang Liu, Xin Zhong, Liu, Yang +1 · 1 citation
Mathematics · #Advanced Mathematical Physics Problems #Compressibility #Gas Dynamics and Kinetic Theory #Isentropic process #Magnetohydrodynamic drive #Magnetohydrodynamics #Mechanics #Navier-Stokes equation solutions #Physics #Plasma #Quantum mechanics
- Assessment of Low-Dissipative Shock-Capturing Schemes for the Compressible Taylor–Green Vortex
2020/12/21 by David J. Lusher, Neil D. Sandham · 6 citations
Engineering · #Aerospace engineering #Classical mechanics #Compressibility #Compressible flow #Computational Fluid Dynamics and Aerodynamics #Computational fluid dynamics #Computer science #Dissipation #Dissipative system #Engineering #Fluid Dynamics and Turbulent Flows #Mach number #Mechanics #Physics #Plasma and Flow Control in Aerodynamics #Shock (circulatory) #Shock wave #Statistical physics #Supersonic speed #Turbulence #Vortex
- Deep Learning Methods for Reynolds-Averaged Navier–Stokes Simulations of Airfoil Flows
2019/11/14 by Nils Thuerey, Konstantin Weißenow, Lukas Prantl +1 · 48 citations
Engineering · Mathematics · Physics and Astronomy · #Aerodynamics and Acoustics in Jet Flows #Aerospace engineering #Airfoil #Artificial intelligence #Artificial neural network #Compressibility #Computational fluid dynamics #Computer science #Convolutional neural network #Deep learning #Engineering #Fluid Dynamics and Turbulent Flows #Mathematics #Mechanics #Model Reduction and Neural Networks #Navier–Stokes equations #Physics #Range (aeronautics) #Reynolds number #Reynolds-averaged Navier–Stokes equations
- Impact of Compressibility on the Control of Bubble-Pressure Tensiometers
2016/10/31 by Vineeth Chandran Suja, John M. Frostad, Gerald G. Fuller · 1 citation
Engineering · #Fluid Dynamics and Mixing #Innovative Microfluidic and Catalytic Techniques Innovation #Electrohydrodynamics and Fluid Dynamics #Bubble #Compressibility #Dimensionless quantity #Mechanics #Capillary action #Contraction (grammar) #Hysteresis #Thermodynamics #Materials science #Physics #Condensed matter physics
- A computational method for sharp interface advection
2016/01/31 by Johan Roenby, Henrik Bredmose, Hrvoje Jasak · 1 citation
Engineering · Physics and Astronomy · #Advanced Numerical Methods in Computational Mathematics #Advection #Compressibility #Finite volume method #Fluid Dynamics and Heat Transfer #Interface (matter) #Intersection (aeronautics) #Isosurface #Lattice Boltzmann Simulation Studies #Marching cubes #Polygon mesh #Volume (thermodynamics) #Volume of fluid method #physics.flu-dyn
- Reduced order modelling for unsteady fluid flow using proper orthogonal decomposition and radial basis functions
2013/05/02 by Sean Walton, O. Hassan, K. Morgan · 1 citation
Physics and Astronomy · Engineering · Mathematics · #Model Reduction and Neural Networks #Computational Fluid Dynamics and Aerodynamics #Hydraulic and Pneumatic Systems #Inviscid flow #Basis (linear algebra) #Basis function #Proper orthogonal decomposition #Flow (mathematics) #Applied mathematics #Radial basis function #Decomposition #Compressible flow #Mathematics #Reduction (mathematics) #Compressibility #Mathematical optimization #Mathematical analysis #Mechanics #Computer science #Physics #Geometry #Turbulence
- Linking multiple relaxation, power-law attenuation, and fractional wave equations
2011/11/01 by Sven Peter Näsholm, Sverre Holm · 5 citations
Engineering · Mathematics · #Acoustic Wave Phenomena Research #Fractional Differential Equations Solutions #Acoustic Wave Resonator Technologies #Attenuation #Fractional calculus #Wave equation #Relaxation (psychology) #Power law #Acoustic attenuation #Physics #Compressibility #Acoustic wave equation #Acoustic wave #Acoustics #Mathematical analysis #Mathematics #Mechanics #Optics
- Physics and Regimes of Supersonic Combustion
2010/02/11 by Antonella Ingenito, Claudio Bruno · 1 citation
Engineering · Chemistry · #Computational Fluid Dynamics and Aerodynamics #Combustion and flame dynamics #Fluid Dynamics and Turbulent Flows #Supersonic speed #Scramjet #Combustor #Combustion #Mechanics #Aerospace engineering #Hypersonic speed #Mixing (physics) #Compressibility #Turbulence #Jet engine #Choked flow #Mach number #Physics #Jet (fluid) #Chemistry #Engineering
- High-pressure X-ray diffraction study of ε-FeOOH
2009/07/25 by Akio Suzuki · 1 citation
Chemistry · Earth and Planetary Sciences · Materials Science · #Analytical Chemistry (journal) #Bulk modulus #Chemistry #Compressibility #Crystallography #Diffraction #Equation of state #High-pressure geophysics and materials #Isothermal process #Optics #Physics #Powder diffraction #Synchrotron #Thermal and Kinetic Analysis #Thermodynamics #X-ray #X-ray Diffraction in Crystallography #X-ray crystallography
- Liouville theorems for the Navier–Stokes equations and applications
2009/01/01 by Gabriel S. Koch, Gabriel Koch, Nikolai Nadirashvili +5 · 29 citations
Mathematics · #Advanced Mathematical Physics Problems #Bounded function #Chen #Compressibility #Constant (computer programming) #Geometry #Mathematical analysis #Mathematics #Navier-Stokes equation solutions #Navier–Stokes equations #Nonlinear Partial Differential Equations #Physics #Pure mathematics #Rotational symmetry #Singularity #Space (punctuation)
- Global Solutions to the Three-Dimensional Full Compressible Magnetohydrodynamic Flows
2008/04/29 by Xianpeng Hu, Dehua Wang · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Boundary value problem #Bounded function #Compressibility #Convergence (economics) #Domain (mathematical analysis) #Magnetic field #Magnetohydrodynamic drive #Magnetohydrodynamics #Mathematical analysis #Mathematics #Mechanics #Navier-Stokes equation solutions #Nonlinear Partial Differential Equations #Physics #Thermodynamics #Viscosity #Weak solution #math-ph #math.AP #math.MP #msc:35D05 #msc:35Q36 #msc:76W05
- The Euler Equations of Compressible Fluid Flow
2007/06/18 by Demetrios Christodoulou · 1 citation
Mathematics · Engineering · #Navier-Stokes equation solutions #Computational Fluid Dynamics and Aerodynamics #Fluid Dynamics and Turbulent Flows #Euler equations #Compressible flow #Mathematics #Semi-implicit Euler method #Compressibility #Euler's formula #Flow (mathematics) #Mechanics #Mathematical analysis #Applied mathematics #Physics #Backward Euler method
- Analytical study of certain magnetohydrodynamic-α models
2006/06/30 by Jasmine S. Linshiz, Edriss S. Titi · 1 citation
Engineering · Mathematics · #Advanced Mathematical Physics Problems #Classical mechanics #Compressibility #Fluid Dynamics and Turbulent Flows #K-epsilon turbulence model #K-omega turbulence model #Magnetic field #Magnetohydrodynamic drive #Magnetohydrodynamic turbulence #Magnetohydrodynamics #Mathematical analysis #Mathematics #Mechanics #Navier-Stokes equation solutions #Navier–Stokes equations #Physics #Turbulence #Turbulence modeling #math.AP #msc:76D03 #msc:76F20 #msc:76F55 #msc:76F65 #msc:76W05
- Low Mach Number Modeling of Type Ia Supernovae. II. Energy Evolution
2006/06/21 by Ann Almgren, A. S. Almgren, J. B. Bell +4 · 1 citation
Physics and Astronomy · #Astro and Planetary Science #Astrophysics #Compressibility #Equation of state #Gamma-ray bursts and supernovae #Laser-Plasma Interactions and Diagnostics #Mach number #Mechanics #Physics #Statistical physics #Supernova #Thermodynamics #astro-ph
- Aerodynamic Data Reconstruction and Inverse Design Using Proper Orthogonal Decomposition
2004/08/01 by T. Bui-Thanh, Tan Bui–Thanh, M. Damodaran +2 · 34 citations
Decision Sciences · Engineering · Mathematics · Physics and Astronomy · #Aerodynamics #Aerospace engineering #Airfoil #Compressibility #Compressible flow #Computational Fluid Dynamics and Aerodynamics #Computer science #Engineering #Flow (mathematics) #Geometry #Inverse #Inverse problem #Mathematical analysis #Mathematics #Model Reduction and Neural Networks #Probabilistic and Robust Engineering Design #Transonic
- THE RICHTMYER-MESHKOV INSTABILITY
2002/01/01 by Martin Brouillette · 1 citation
Physics and Astronomy · Engineering · #Laser-Plasma Interactions and Diagnostics #Computational Fluid Dynamics and Aerodynamics #Laser-Matter Interactions and Applications #Richtmyer–Meshkov instability #Instability #Mach number #Physics #Compressibility #Compressible flow #Turbulence #Shock (circulatory) #Nonlinear system #Shock wave #Mechanics #Statistical physics
- Kármán–Howarth theorem for the Lagrangian-averaged Navier–Stokes–alpha model of turbulence
2001/05/18 by DARRYL D. HOLM, Darryl D. Holm · 1 citation
Engineering · Physics and Astronomy · #Autocorrelation #Combustion and flame dynamics #Compressibility #Dissipation #Fluid Dynamics and Turbulent Flows #Isotropy #K-omega turbulence model #Kinetic energy #Particle Dynamics in Fluid Flows #Scaling #Turbulence #Turbulence kinetic energy #nlin.CD
- A 3D MHD model of astrophysical flows: Algorithms, tests and parallelisation
2001/02/05 by S. E. Caunt, M. J. Korpi · 2 citations
Engineering · Mathematics · Physics and Astronomy · #Algorithm #Code (set theory) #Compressibility #Computational Fluid Dynamics and Aerodynamics #Computational science #Computer science #Domain (mathematical analysis) #Fluid Dynamics and Turbulent Flows #Gas Dynamics and Kinetic Theory #Magnetohydrodynamics #Mathematics #Mechanics #Parallel computing #Physics #Programming language #Python (programming language) #Ranging #Shearing (physics) #Turbulence #astro-ph
- Dynamics and thermodynamics of the Bose-Hubbard model
1998/07/02 by N. Elstner, H. Monien · 2 citations
Mathematics · Physics and Astronomy · #Bose–Hubbard model #Cold Atom Physics and Bose-Einstein Condensates #Compressibility #Condensed matter physics #Coupling (piping) #Dimension (graph theory) #Hubbard model #Materials science #Mathematics #Mott insulator #Phase (matter) #Phase boundary #Phase transition #Physics #Physics of Superconductivity and Magnetism #Quantum mechanics #Quantum, superfluid, helium dynamics #Reentrancy #Statistical physics #Superconductivity #Thermodynamics #Work (physics) #cond-mat
- An internally consistent thermodynamic data set for phases of petrological interest
1998/05/01 by T. J. B. Holland, Roger Powell · 3 citations
Earth and Planetary Sciences · Chemical Engineering · Chemistry · #Geological and Geochemical Analysis #High-pressure geophysics and materials #Chemical and Physical Properties in Aqueous Solutions #Thermodynamics #Bulk modulus #Compressibility #Thermal expansion #Silicate #Phase (matter) #Solubility #Mixing (physics) #Equation of state #Aqueous solution #Mineral #Mineralogy #Molar volume #Quartz #Chemistry #Geology #Physics #Physical chemistry
- Drop formation in a one-dimensional approximation of the Navier–Stokes equation
1994/10/03 by Jens Eggers, Todd F. Dupont · 1 citation
Earth and Planetary Sciences · Engineering · Mathematics · Physics and Astronomy · #Aquatic and Environmental Studies #Bifurcation #Body orifice #Breakup #Classical mechanics #Coastal and Marine Dynamics #Compressibility #Drop (telecommunication) #Fluid Dynamics and Heat Transfer #Gravitational singularity #Mathematical analysis #Mathematics #Mechanics #Navier–Stokes equations #Nonlinear system #Physics #RADIUS #Rotational symmetry #Singularity #Viscous liquid #physics.flu-dyn
- A Fourier method for solving nonlinear water-wave problems: application to solitary-wave interactions
1982/05/01 by John D. Fenton, Michele M. Rienecker · 3 citations
Earth and Planetary Sciences · Physics and Astronomy · Mathematics · #Ocean Waves and Remote Sensing #Nonlinear Waves and Solitons #Coastal and Marine Dynamics #Physics #Mechanics #Fourier transform #Amplitude #Nonlinear system #Conservative vector field #Breaking wave #Fourier series #Korteweg–de Vries equation #Classical mechanics #Wave propagation #Mathematical analysis #Optics #Compressibility #Mathematics
- Discovery of the Earth’s core
1980/09/01 by Stephen G. Brush · 3 citations
Earth and Planetary Sciences · Mathematics · #High-pressure geophysics and materials #Marine and environmental studies #Earthquake Detection and Analysis #Inner core #Physics #Core (optical fiber) #Outer core #Discontinuity (linguistics) #Solidity #Geophysics #Compressibility #Mantle (geology) #Seismic wave #Boundary (topology) #Earth model #Theoretical physics #Mechanics #Optics #Mathematical analysis #Mathematics
- Structure of the Conical Flowfield about External Axial Corners
1979/01/01 by Manuel D. Salas, James Daywitt, JAMES DAYWITT · 1 citation
Engineering · Mathematics · #Boundary value problem #Compressibility #Conical surface #Conservative vector field #Flow (mathematics) #Fluid Dynamics and Turbulent Flows #Fluid Dynamics and Vibration Analysis #Geometry #Inviscid flow #Mathematical analysis #Mathematics #Mechanics #Physics #Stagnation point #Streamlines, streaklines, and pathlines #Vibration and Dynamic Analysis #Wedge (geometry)
- Internal waves of permanent form in fluids of great depth
1967/09/06 by T. Brooke Benjamin · 4 citations
Earth and Planetary Sciences · Physics and Astronomy · #Oceanographic and Atmospheric Processes #Ocean Waves and Remote Sensing #Nonlinear Waves and Solitons #Internal wave #Streamlines, streaklines, and pathlines #Mechanics #Amplitude #Mechanical wave #Physics #Thermocline #Compressibility #Classical mechanics #Gravity wave #Love wave #Wave propagation #Geology #Longitudinal wave #Optics
- Theory of Propagation of Elastic Waves in a Fluid-Saturated Porous Solid. I. Low-Frequency Range
1956/03/01 by M. A. Biot · 80 citations
Earth and Planetary Sciences · Engineering · #Attenuation #Classical mechanics #Composite material #Compressibility #Dispersion (optics) #Drilling and Well Engineering #Flow (mathematics) #Fluid Dynamics and Vibration Analysis #Hagen–Poiseuille equation #Materials science #Mechanics #Optics #Phase (matter) #Phase velocity #Physics #Porosity #Porous medium #Range (aeronautics) #Seismic Imaging and Inversion Techniques #Viscous liquid #Wave propagation