Computers and Fluids, ISSN 0045-7930, 07/2018, Volume 171, pp. 94 - 102

•Simulation of fluid flows is performed using the fully implicit two level scheme.•Numerical implementation is based on Newton’s method.•Increasing of the time...

Finite element method | Conservation laws | The Euler system | Two–level schemes | Decoupling scheme | Compressible fluids | Barotropic fluid | VISCOSITY METHOD | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MECHANICS | Two-level schemes | HYPERBOLIC SYSTEMS | Environmental law | Analysis

Finite element method | Conservation laws | The Euler system | Two–level schemes | Decoupling scheme | Compressible fluids | Barotropic fluid | VISCOSITY METHOD | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MECHANICS | Two-level schemes | HYPERBOLIC SYSTEMS | Environmental law | Analysis

Journal Article

Journal of Fluid Mechanics, ISSN 0022-1120, 09/2016, Volume 803, pp. 51 - 71

Numerical simulations of three-dimensional rapidly rotating Rayleigh-Benard convection are performed by employing an asymptotic quasi-geostrophic model. that...

quasi-geostrophic flows | Bénard convection | geostrophic turbulence | PLANETARY CORES | SPECTRAL METHODS | PHYSICS, FLUIDS & PLASMAS | EQUATIONS | Benard convection | ROTATIONALLY CONSTRAINED CONVECTION | MECHANICS | MODELS | CYLINDRICAL ANNULUS | TURBULENCE | FLOWS | Fluid mechanics | Mathematical models | Simulation | Rayleigh number | Boundary layer | Turbulence | Laboratories | Fluid | Boundary conditions | Ekman pumping | Boundaries | Experiments | Heat transport | Free boundaries | Convection | Equations | Earth | Heat | Prandtl number | Pumping | Friction | Agreements | Kinetic energy | Transport | Barotropic mode | Methods | Boundary layers | Navier-Stokes equations | Turbulent flow | Computational fluid dynamics | Fluid flow | Physics - Fluid Dynamics

quasi-geostrophic flows | Bénard convection | geostrophic turbulence | PLANETARY CORES | SPECTRAL METHODS | PHYSICS, FLUIDS & PLASMAS | EQUATIONS | Benard convection | ROTATIONALLY CONSTRAINED CONVECTION | MECHANICS | MODELS | CYLINDRICAL ANNULUS | TURBULENCE | FLOWS | Fluid mechanics | Mathematical models | Simulation | Rayleigh number | Boundary layer | Turbulence | Laboratories | Fluid | Boundary conditions | Ekman pumping | Boundaries | Experiments | Heat transport | Free boundaries | Convection | Equations | Earth | Heat | Prandtl number | Pumping | Friction | Agreements | Kinetic energy | Transport | Barotropic mode | Methods | Boundary layers | Navier-Stokes equations | Turbulent flow | Computational fluid dynamics | Fluid flow | Physics - Fluid Dynamics

Journal Article

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, ISSN 1364-5021, 03/2017, Volume 473, Issue 2199, p. 20160345

Cavitation is the transition from a liquid to a vapour phase, due to a drop in pressure to the level of the vapour tension of the fluid. Two kinds of...

Hydrodynamic cavitation | Barotropic and baroclinic models | Acoustic cavitation | Nozzle discharge coefficient | Rayleigh-Plesset equation | Sound speed | acoustic cavitation | barotropic and baroclinic models | BUBBLE | NONEQUILIBRIUM | DISCHARGE COEFFICIENTS | hydrodynamic cavitation | MECHANISM | MULTIDISCIPLINARY SCIENCES | LIQUID | NOZZLE | MODEL | nozzle discharge coefficient | PRESSURE | sound speed | FLOWS | NUMERICAL-SIMULATION | 154 | 121 | 1006 | 119 | Review | Rayleigh–Plesset equation

Hydrodynamic cavitation | Barotropic and baroclinic models | Acoustic cavitation | Nozzle discharge coefficient | Rayleigh-Plesset equation | Sound speed | acoustic cavitation | barotropic and baroclinic models | BUBBLE | NONEQUILIBRIUM | DISCHARGE COEFFICIENTS | hydrodynamic cavitation | MECHANISM | MULTIDISCIPLINARY SCIENCES | LIQUID | NOZZLE | MODEL | nozzle discharge coefficient | PRESSURE | sound speed | FLOWS | NUMERICAL-SIMULATION | 154 | 121 | 1006 | 119 | Review | Rayleigh–Plesset equation

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 05/2019, Volume 473, Issue 2, pp. 934 - 951

We study the Lagrangian structure for weak solutions of two dimensional Navier–Stokes equations for a non-barotropic compressible fluid, i.e. we show the...

Lagrangian structure | Non-barotropic | Compressible fluid | Log-Lipschitzian vector fields | MATHEMATICS | MATHEMATICS, APPLIED | NAVIER-STOKES EQUATIONS | FLOWS

Lagrangian structure | Non-barotropic | Compressible fluid | Log-Lipschitzian vector fields | MATHEMATICS | MATHEMATICS, APPLIED | NAVIER-STOKES EQUATIONS | FLOWS

Journal Article

Journal of Computational Physics, ISSN 0021-9991, 2004, Volume 201, Issue 1, pp. 80 - 108

Unlike attached cavitation, where the cavitation boundary is steady or changes relatively slowly and periodically, the cavitation such as that observed in an...

Cavitation collapse | Bulk cavitation | Ghost fluid method | Barotropic flow | Homogeneous unsteady cavitating flow | One-fluid modelling | Equation of state | equation of state | COMPRESSIBLE FLOWS | barotropic flow | ghost fluid method | bulk cavitation | homogeneous unsteady cavitating flow | one-fluid modelling | SIMULATION | PHYSICS, MATHEMATICAL | cavitation collapse | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | INTERFACES | GAS | MULTI-MEDIUM FLOW | WATER

Cavitation collapse | Bulk cavitation | Ghost fluid method | Barotropic flow | Homogeneous unsteady cavitating flow | One-fluid modelling | Equation of state | equation of state | COMPRESSIBLE FLOWS | barotropic flow | ghost fluid method | bulk cavitation | homogeneous unsteady cavitating flow | one-fluid modelling | SIMULATION | PHYSICS, MATHEMATICAL | cavitation collapse | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | INTERFACES | GAS | MULTI-MEDIUM FLOW | WATER

Journal Article

Mathematical Methods in the Applied Sciences, ISSN 0170-4214, 06/2016, Volume 39, Issue 9, pp. 2202 - 2219

In this paper, we prove the global well‐posedness of non‐Newtonian viscous fluid flow of the Oldroyd‐B model with free surface in a bounded domain of...

orthogonal to rigid motion | global well‐posedness | Oldroyd‐B type | non‐Newtonian compressible viscous barotropic fluid flow | non-Newtonian compressible viscous barotropic fluid flow | global well-posedness | Oldroyd-B type | EXISTENCE | SYSTEM | MATHEMATICS, APPLIED | MOTION | VISCOELASTIC FLUIDS | Euclidean space | Euclidean geometry | Mathematical models | Computational fluid dynamics | Viscous fluids | Free boundaries | Fluid flow

orthogonal to rigid motion | global well‐posedness | Oldroyd‐B type | non‐Newtonian compressible viscous barotropic fluid flow | non-Newtonian compressible viscous barotropic fluid flow | global well-posedness | Oldroyd-B type | EXISTENCE | SYSTEM | MATHEMATICS, APPLIED | MOTION | VISCOELASTIC FLUIDS | Euclidean space | Euclidean geometry | Mathematical models | Computational fluid dynamics | Viscous fluids | Free boundaries | Fluid flow

Journal Article

Journal of Fluid Mechanics, ISSN 0022-1120, 2016, Volume 799, pp. 413 - 432

Rotating Rayleigh–Bénard convection, the flow in a rotating fluid layer heated from below and cooled from above, is used to analyse the transition to the...

turbulent flows | rotating turbulence | turbulent convection | PHYSICS, FLUIDS & PLASMAS | LARGE-SCALE CIRCULATION | ROTATIONALLY CONSTRAINED CONVECTION | FLUID LAYER | PRANDTL NUMBER | UNIFYING THEORY | MECHANICS | THERMAL-CONVECTION | HEAT-TRANSPORT | FLOW STRUCTURE | TURBULENT ROTATING CONVECTION | RAYLEIGH-BENARD CONVECTION | Cellular convection | Turbulent flow | Laboratories | Slip | Fluid flow | Rayleigh number | Convection | Phenomenology | Prandtl number | Scaling laws | Boundary layer transition | Mathematical models | Barotropic mode | Stresses | Barotropic vortices | Turbulence | Fluid dynamics | Computational fluid dynamics | Temperature gradients | Large scale structure of the universe | Boundary conditions | Velocity | Rotation | Free boundaries | Equations | Stress | Temperature gradient | Studies | Rotating fluids | Heat | Simulation | Plates (structural members) | Scaling | Energy transfer | Navier-Stokes equations

turbulent flows | rotating turbulence | turbulent convection | PHYSICS, FLUIDS & PLASMAS | LARGE-SCALE CIRCULATION | ROTATIONALLY CONSTRAINED CONVECTION | FLUID LAYER | PRANDTL NUMBER | UNIFYING THEORY | MECHANICS | THERMAL-CONVECTION | HEAT-TRANSPORT | FLOW STRUCTURE | TURBULENT ROTATING CONVECTION | RAYLEIGH-BENARD CONVECTION | Cellular convection | Turbulent flow | Laboratories | Slip | Fluid flow | Rayleigh number | Convection | Phenomenology | Prandtl number | Scaling laws | Boundary layer transition | Mathematical models | Barotropic mode | Stresses | Barotropic vortices | Turbulence | Fluid dynamics | Computational fluid dynamics | Temperature gradients | Large scale structure of the universe | Boundary conditions | Velocity | Rotation | Free boundaries | Equations | Stress | Temperature gradient | Studies | Rotating fluids | Heat | Simulation | Plates (structural members) | Scaling | Energy transfer | Navier-Stokes equations

Journal Article

Geophysical & Astrophysical Fluid Dynamics, ISSN 0309-1929, 11/2014, Volume 108, Issue 6, pp. 667 - 685

Barotropic fluid flows with the same circulation structure as steady flows generically have comoving physical surfaces on which the vortex lines lie. These...

Fluid dynamics | Variational principles | VORTEX LINES | GEOCHEMISTRY & GEOPHYSICS | MECHANICS | HELICITY | IDEAL FLUID | STABILITY | ASTRONOMY & ASTROPHYSICS | FLOWS | ENERGY PRINCIPLES | Mathematical analysis | Vortices | Fluid flow | Barotropic flow | Topology | Formalism

Fluid dynamics | Variational principles | VORTEX LINES | GEOCHEMISTRY & GEOPHYSICS | MECHANICS | HELICITY | IDEAL FLUID | STABILITY | ASTRONOMY & ASTROPHYSICS | FLOWS | ENERGY PRINCIPLES | Mathematical analysis | Vortices | Fluid flow | Barotropic flow | Topology | Formalism

Journal Article

Ocean Engineering, ISSN 0029-8018, 11/2017, Volume 145, pp. 290 - 303

The stratification of fluid caused by the change of water densities can generate two water waves on each fluid boundary. One is the surface wave on the free...

Time domain | Baroclinic mode | Numerical wave tank | Oscillating body | Two-layer fluid | Barotropic mode | CHINA SEAS | FINITE DEPTH | POROUS STRUCTURES | ENGINEERING, CIVIL | ENGINEERING, MARINE | ENGINEERING, OCEAN | OCEANOGRAPHY | Specific gravity | Dynamic meteorology | Analysis | Internal waves

Time domain | Baroclinic mode | Numerical wave tank | Oscillating body | Two-layer fluid | Barotropic mode | CHINA SEAS | FINITE DEPTH | POROUS STRUCTURES | ENGINEERING, CIVIL | ENGINEERING, MARINE | ENGINEERING, OCEAN | OCEANOGRAPHY | Specific gravity | Dynamic meteorology | Analysis | Internal waves

Journal Article

Ocean Dynamics, ISSN 1616-7341, 6/2018, Volume 68, Issue 6, pp. 723 - 733

Within the framework of the quasi-geostrophic approximation, the interactions of two identical initially circular vortex patches are studied using the contour...

Earth Sciences | Quasi-Geostrophy | Monitoring/Environmental Analysis | Fluid- and Aerodynamics | Vortex interaction | Triplet | Filamentation | Geophysics/Geodesy | Atmospheric Sciences | Oceanography | Vortex merger | Barotropic vortices | Approximation | Fluid dynamics | Geostrophic approximation | Rotating fluids | Satellites | Dynamics | Filaments | Vortices | Surgery | Vorticity | Evolution | Cyclones | Vortex structure | Interactions | Barotropic mode | Framework

Earth Sciences | Quasi-Geostrophy | Monitoring/Environmental Analysis | Fluid- and Aerodynamics | Vortex interaction | Triplet | Filamentation | Geophysics/Geodesy | Atmospheric Sciences | Oceanography | Vortex merger | Barotropic vortices | Approximation | Fluid dynamics | Geostrophic approximation | Rotating fluids | Satellites | Dynamics | Filaments | Vortices | Surgery | Vorticity | Evolution | Cyclones | Vortex structure | Interactions | Barotropic mode | Framework

Journal Article

Journal of Fluid Mechanics, ISSN 0022-1120, 11/2014, Volume 762, Issue 2, pp. 5 - 34

Instabilities of isolated anticyclonic vortices in the two-layer rotating shallow water model are studied at Rossby numbers up to two, with the main goal to...

ocean processes | shallow water flows | instability | PHYSICS, FLUIDS & PLASMAS | POTENTIAL VORTICITY | STABILITY | OCEAN | MECHANICS | EVOLUTION | FLUID | AXISYMMETRICAL VORTEX | F-PLANE | LAYER | INERTIAL INSTABILITY | LABORATORY EXPERIMENTS | Water | Nonlinear equations | Cyclones | Models | Centrifuges | Broken symmetry | Parameters | Stability | Growth rate | Fluid dynamics | Computational fluid dynamics | Saturation | Fluid flow | Stability analysis | Shallow water | Vertical shear | Mathematical problems | Ratios | Initial conditions | Baroclinic instability | Vortices | Instability | Anticyclones | Mathematical models | Barotropic mode | Nonlinearity

ocean processes | shallow water flows | instability | PHYSICS, FLUIDS & PLASMAS | POTENTIAL VORTICITY | STABILITY | OCEAN | MECHANICS | EVOLUTION | FLUID | AXISYMMETRICAL VORTEX | F-PLANE | LAYER | INERTIAL INSTABILITY | LABORATORY EXPERIMENTS | Water | Nonlinear equations | Cyclones | Models | Centrifuges | Broken symmetry | Parameters | Stability | Growth rate | Fluid dynamics | Computational fluid dynamics | Saturation | Fluid flow | Stability analysis | Shallow water | Vertical shear | Mathematical problems | Ratios | Initial conditions | Baroclinic instability | Vortices | Instability | Anticyclones | Mathematical models | Barotropic mode | Nonlinearity

Journal Article

Journal of Fluid Mechanics, ISSN 0022-1120, 08/2016, Volume 801, pp. 430 - 458

We present an investigation of rapidly rotating (small Rossby number Ro << 1) stratified turbulence where the stratification strength is varied from weak...

rotating flows | quasi-geostrophic flows | geostrophic turbulence | GEOPHYSICAL FLOWS | PHYSICS, FLUIDS & PLASMAS | ROTATIONALLY CONSTRAINED FLOWS | INVERSE CASCADES | FAST GRAVITY-WAVES | FROUDE-NUMBER | SLOW MANIFOLD | MECHANICS | LARGE SCALES | LIMITING DYNAMICS | NUMERICAL-SIMULATION | MIDOCEAN EDDIES | Boussinesq equations | Turbulent flow | Dipoles | Small scale | Buoyancy | Fluid flow | Density stratification | Thin films | Energy dissipation | Wave forces | Mathematical models | Kinetic energy | Stratification | Layers | Barotropic mode | Gravity waves | Stretching | Gravity | Modes | Turbulence | Computer simulation | Vertical forces | Computational fluid dynamics | Reynolds number | Fluid | Forces (mechanics) | Rossby number | Froude number | Velocity | Equations | Buoyancy flux | Vortices | Boussinesq approximation | Inertia | Stochasticity | Interactions | Physics - Fluid Dynamics

rotating flows | quasi-geostrophic flows | geostrophic turbulence | GEOPHYSICAL FLOWS | PHYSICS, FLUIDS & PLASMAS | ROTATIONALLY CONSTRAINED FLOWS | INVERSE CASCADES | FAST GRAVITY-WAVES | FROUDE-NUMBER | SLOW MANIFOLD | MECHANICS | LARGE SCALES | LIMITING DYNAMICS | NUMERICAL-SIMULATION | MIDOCEAN EDDIES | Boussinesq equations | Turbulent flow | Dipoles | Small scale | Buoyancy | Fluid flow | Density stratification | Thin films | Energy dissipation | Wave forces | Mathematical models | Kinetic energy | Stratification | Layers | Barotropic mode | Gravity waves | Stretching | Gravity | Modes | Turbulence | Computer simulation | Vertical forces | Computational fluid dynamics | Reynolds number | Fluid | Forces (mechanics) | Rossby number | Froude number | Velocity | Equations | Buoyancy flux | Vortices | Boussinesq approximation | Inertia | Stochasticity | Interactions | Physics - Fluid Dynamics

Journal Article

Mathematical Methods in the Applied Sciences, ISSN 0170-4214, 10/2018, Volume 41, Issue 15, pp. 5869 - 5905

Viscous compressible barotropic motions (described by v‐velocity and ϱ‐density) in a bounded domain Ω⊂R3 with v=0 on the boundary are considered. Assuming...

stability of spherically symmetric solutions | compressible viscous barotropic fluids | Dirichlet boundary conditions | global existence of regular solutions | EXISTENCE | MATHEMATICS, APPLIED | NAVIER-STOKES EQUATIONS | BOUNDARY-VALUE-PROBLEMS | GAS | SYMMETRIC-SOLUTIONS | Norms | Compressibility | Density | Viscous fluids | Motion stability

stability of spherically symmetric solutions | compressible viscous barotropic fluids | Dirichlet boundary conditions | global existence of regular solutions | EXISTENCE | MATHEMATICS, APPLIED | NAVIER-STOKES EQUATIONS | BOUNDARY-VALUE-PROBLEMS | GAS | SYMMETRIC-SOLUTIONS | Norms | Compressibility | Density | Viscous fluids | Motion stability

Journal Article

Physics of Fluids, ISSN 1070-6631, 12/2012, Volume 24, Issue 12, p. 126601

The development of zonal flows on a midlatitude beta-plane subject to a time-varying topographic forcing is investigated in a series of numerical integrations...

BREAKING | WAVES | TRANSPORT | MECHANICS | PHYSICS, FLUIDS & PLASMAS | BETA-PLANE TURBULENCE | BAROTROPIC MODEL | FLOWS | STRATOSPHERE | SPECTRA | Fluids | Turbulence | Turbulent flow | Computational fluid dynamics | Mathematical analysis | Vorticity | Fluid flow | Mechanics | Mechanics of the fluids | Mathematical Physics | Physics

BREAKING | WAVES | TRANSPORT | MECHANICS | PHYSICS, FLUIDS & PLASMAS | BETA-PLANE TURBULENCE | BAROTROPIC MODEL | FLOWS | STRATOSPHERE | SPECTRA | Fluids | Turbulence | Turbulent flow | Computational fluid dynamics | Mathematical analysis | Vorticity | Fluid flow | Mechanics | Mechanics of the fluids | Mathematical Physics | Physics

Journal Article

Bulletin of the Brazilian Mathematical Society, New Series, ISSN 1678-7544, 6/2016, Volume 47, Issue 2, pp. 715 - 726

We study a possibilityof existence of localized two-dimensional structures, both smooth and non-smooth, that can move without significant change of their shape...

steady state | compressible fluid | Secondary | barotropic fluid | 76N15 | Theoretical, Mathematical and Computational Physics | frozen structure | Primary | Mathematics, general | Mathematics | 76U05 | 35L65 | MATHEMATICS | BV VECTOR-FIELDS | TRANSPORT-EQUATION | MODEL | VORTEX | 2 DIMENSIONS | UNIQUENESS

steady state | compressible fluid | Secondary | barotropic fluid | 76N15 | Theoretical, Mathematical and Computational Physics | frozen structure | Primary | Mathematics, general | Mathematics | 76U05 | 35L65 | MATHEMATICS | BV VECTOR-FIELDS | TRANSPORT-EQUATION | MODEL | VORTEX | 2 DIMENSIONS | UNIQUENESS

Journal Article

Physics of Fluids, ISSN 1070-6631, 2010, Volume 22, Issue 9, pp. 094104 - 1/12

The instability properties of isolated monopolar vortices have been investigated experimentally and the corresponding multipolar quasisteady states have been...

GEOSTROPHIC VORTICES | CIRCULAR VORTICES | INSTABILITY | PHYSICS, FLUIDS & PLASMAS | TRIPOLAR VORTEX | flow visualisation | BAROTROPIC VORTICES | MECHANICS | EVOLUTION | MOTION | STRATIFIED FLUID | fluid oscillations | flow instability | DYNAMICS | vortices | 2-DIMENSIONAL INCOMPRESSIBLE FLOWS

GEOSTROPHIC VORTICES | CIRCULAR VORTICES | INSTABILITY | PHYSICS, FLUIDS & PLASMAS | TRIPOLAR VORTEX | flow visualisation | BAROTROPIC VORTICES | MECHANICS | EVOLUTION | MOTION | STRATIFIED FLUID | fluid oscillations | flow instability | DYNAMICS | vortices | 2-DIMENSIONAL INCOMPRESSIBLE FLOWS

Journal Article

JOURNAL OF FLUID MECHANICS, ISSN 0022-1120, 07/2019, Volume 871, pp. 755 - 774

Inverting an evolving diffusive scalar field to reconstruct the underlying velocity field is an underdetermined problem. Here we show, however, that for...

computational methods | GRADIENT TENSOR | CIRCULATION | TRACER FIELD | STATISTICS | PHYSICS, FLUIDS & PLASMAS | OCEAN | MODEL | EDDY DIFFUSIVITY | VORTEX | DYE | MECHANICS | mixing and dispersion | ocean circulation | Shallow water equations | Partial differential equations | Fluid flow | Oceanography | Velocity distribution | Shallow water | Oceanic analysis | Remote sensing | Ocean models | Two dimensional analysis | Barotropic mode | Diffusion coefficients | Ocean currents | Method of characteristics | Reconstruction | Computational fluid dynamics | Ocean circulation | Two dimensional flow | Velocity | Diffusivity | Equations | Domains | Incompressible flow | Fields | Inverse problems | Water circulation | Differential equations | Ordinary differential equations | Flow velocity | Tracers

computational methods | GRADIENT TENSOR | CIRCULATION | TRACER FIELD | STATISTICS | PHYSICS, FLUIDS & PLASMAS | OCEAN | MODEL | EDDY DIFFUSIVITY | VORTEX | DYE | MECHANICS | mixing and dispersion | ocean circulation | Shallow water equations | Partial differential equations | Fluid flow | Oceanography | Velocity distribution | Shallow water | Oceanic analysis | Remote sensing | Ocean models | Two dimensional analysis | Barotropic mode | Diffusion coefficients | Ocean currents | Method of characteristics | Reconstruction | Computational fluid dynamics | Ocean circulation | Two dimensional flow | Velocity | Diffusivity | Equations | Domains | Incompressible flow | Fields | Inverse problems | Water circulation | Differential equations | Ordinary differential equations | Flow velocity | Tracers

Journal Article

Journal of Mathematical Sciences, ISSN 1072-3374, 7/2013, Volume 192, Issue 4, pp. 389 - 416

This paper deals the problem of small motions and eigenoscillations of the hydrodynamical system” ideal fluid–barotropic gas” with regard for gravitational and...

barotropic gas | ideal capillary fluid | eigenoscillations | Mathematics, general | Mathematics | surface tension | stability | strong solution | Small motions | hydrosystem | spectral problem

barotropic gas | ideal capillary fluid | eigenoscillations | Mathematics, general | Mathematics | surface tension | stability | strong solution | Small motions | hydrosystem | spectral problem

Journal Article