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74 relations: Advanced Simulation Library, Advection, Black–Scholes equation, Body force, Boltzmann constant, Boltzmann distribution, Buckley–Leverett equation, Buoyancy, Carrier generation and recombination, Chemical reaction, Conservation law, Conservative force, Control volume, Convection, Differential (infinitesimal), Diffusion, Diffusion current, Diffusion equation, Divergence, Double diffusive convection, Drag (physics), Drift current, Drift velocity, Einstein relation (kinetic theory), Electric current, Electric field, Electron hole, Electron mobility, Elementary charge, Fick's laws of diffusion, Finite element method, Flux, Fokker–Planck equation, Friction, Gaussian noise, Gel electrophoresis, Gibbs measure, Gradient, Gravity, Heat transfer, Hyperbolic partial differential equation, Incompressible flow, Langevin equation, Laplace operator, Marian Smoluchowski, Mass diffusivity, Mass transfer, Maxima and minima, Momentum, Multiphase flow, ..., Natural convection, Navier–Stokes equations, Nernst–Planck equation, Numerical solution of the convection–diffusion equation, Parabolic partial differential equation, Partial differential equation, Poisson's equation, Porous medium, Potential energy, Probability distribution, Rayleigh–Bénard convection, Reaction–diffusion system, Scalar (physics), Second derivative, Semiconductor, Smoluchowski coagulation equation, Solenoidal vector field, Steady state, Stochastic differential equation, Superficial velocity, Thermal diffusivity, Thermodynamic temperature, Velocity, Viscosity. Expand index (24 more) »
Advanced Simulation Library
Advanced Simulation Library (ASL) is free and open-source hardware-accelerated multiphysics simulation platform.
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Advection
In the field of physics, engineering, and earth sciences, advection is the transport of a substance by bulk motion.
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Black–Scholes equation
In mathematical finance, the Black–Scholes equation is a partial differential equation (PDE) governing the price evolution of a European call or European put under the Black–Scholes model.
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Body force
A body force is a force that acts throughout the volume of a body.
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Boltzmann constant
The Boltzmann constant, which is named after Ludwig Boltzmann, is a physical constant relating the average kinetic energy of particles in a gas with the temperature of the gas.
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Boltzmann distribution
In statistical mechanics and mathematics, a Boltzmann distribution (also called Gibbs distribution Translated by J.B. Sykes and M.J. Kearsley. See section 28) is a probability distribution, probability measure, or frequency distribution of particles in a system over various possible states.
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Buckley–Leverett equation
In fluid dynamics, the Buckley–Leverett equation is a conservation equation used to model two-phase flow in porous media.
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Buoyancy
In physics, buoyancy or upthrust, is an upward force exerted by a fluid that opposes the weight of an immersed object.
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Carrier generation and recombination
In the solid-state physics of semiconductors, carrier generation and recombination are processes by which mobile charge carriers (electrons and electron holes) are created and eliminated.
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Chemical reaction
A chemical reaction is a process that leads to the transformation of one set of chemical substances to another.
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Conservation law
In physics, a conservation law states that a particular measurable property of an isolated physical system does not change as the system evolves over time.
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Conservative force
A conservative force is a force with the property that the total work done in moving a particle between two points is independent of the taken path.
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Control volume
In continuum mechanics and thermodynamics, a control volume is a mathematical abstraction employed in the process of creating mathematical models of physical processes.
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Convection
Convection is the heat transfer due to bulk movement of molecules within fluids such as gases and liquids, including molten rock (rheid).
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Differential (infinitesimal)
The term differential is used in calculus to refer to an infinitesimal (infinitely small) change in some varying quantity.
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Diffusion
Diffusion is the net movement of molecules or atoms from a region of high concentration (or high chemical potential) to a region of low concentration (or low chemical potential) as a result of random motion of the molecules or atoms.
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Diffusion current
Diffusion current is a current in a semiconductor caused by the diffusion of charge carriers (holes and/or electrons).
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Diffusion equation
The diffusion equation is a partial differential equation.
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Divergence
In vector calculus, divergence is a vector operator that produces a scalar field, giving the quantity of a vector field's source at each point.
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Double diffusive convection
Double diffusive convection is a fluid dynamics phenomenon that describes a form of convection driven by two different density gradients, which have different rates of diffusion.
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Drag (physics)
In fluid dynamics, drag (sometimes called air resistance, a type of friction, or fluid resistance, another type of friction or fluid friction) is a force acting opposite to the relative motion of any object moving with respect to a surrounding fluid.
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Drift current
In condensed matter physics and electrochemistry, drift current is the electric current, or movement of charge carriers, which is due to the applied electric field, often stated as the electromotive force over a given distance.
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Drift velocity
The drift velocity is the average velocity that a particle, such as an electron, attains in a material due to an electric field.
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Einstein relation (kinetic theory)
In physics (specifically, in kinetic theory) the Einstein relation (also known as Einstein–Smoluchowski relation) is a previously unexpected connection revealed independently by William Sutherland in 1904, Albert Einstein in 1905, and by Marian Smoluchowski in 1906 in their papers on Brownian motion.
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Electric current
An electric current is a flow of electric charge.
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Electric field
An electric field is a vector field surrounding an electric charge that exerts force on other charges, attracting or repelling them.
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Electron hole
In physics, chemistry, and electronic engineering, an electron hole (often simply called a hole) is the lack of an electron at a position where one could exist in an atom or atomic lattice.
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Electron mobility
In solid-state physics, the electron mobility characterizes how quickly an electron can move through a metal or semiconductor, when pulled by an electric field.
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Elementary charge
The elementary charge, usually denoted as or sometimes, is the electric charge carried by a single proton, or equivalently, the magnitude of the electric charge carried by a single electron, which has charge.
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Fick's laws of diffusion
Fick's laws of diffusion describe diffusion and were derived by Adolf Fick in 1855.
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Finite element method
The finite element method (FEM), is a numerical method for solving problems of engineering and mathematical physics.
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Flux
Flux describes the quantity which passes through a surface or substance.
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Fokker–Planck equation
In statistical mechanics, the Fokker–Planck equation is a partial differential equation that describes the time evolution of the probability density function of the velocity of a particle under the influence of drag forces and random forces, as in Brownian motion.
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Friction
Friction is the force resisting the relative motion of solid surfaces, fluid layers, and material elements sliding against each other.
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Gaussian noise
Gaussian noise is statistical noise having a probability density function (PDF) equal to that of the normal distribution, which is also known as the Gaussian distribution.
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Gel electrophoresis
Gel electrophoresis is a method for separation and analysis of macromolecules (DNA, RNA and proteins) and their fragments, based on their size and charge.
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Gibbs measure
In mathematics, the Gibbs measure, named after Josiah Willard Gibbs, is a probability measure frequently seen in many problems of probability theory and statistical mechanics.
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Gradient
In mathematics, the gradient is a multi-variable generalization of the derivative.
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Gravity
Gravity, or gravitation, is a natural phenomenon by which all things with mass or energy—including planets, stars, galaxies, and even light—are brought toward (or gravitate toward) one another.
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Heat transfer
Heat transfer is a discipline of thermal engineering that concerns the generation, use, conversion, and exchange of thermal energy (heat) between physical systems.
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Hyperbolic partial differential equation
In mathematics, a hyperbolic partial differential equation of order n is a partial differential equation (PDE) that, roughly speaking, has a well-posed initial value problem for the first derivatives.
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Incompressible flow
In fluid mechanics or more generally continuum mechanics, incompressible flow (isochoric flow) refers to a flow in which the material density is constant within a fluid parcel—an infinitesimal volume that moves with the flow velocity.
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Langevin equation
In physics, Langevin equation (named after Paul Langevin) is a stochastic differential equation describing the time evolution of a subset of the degrees of freedom.
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Laplace operator
In mathematics, the Laplace operator or Laplacian is a differential operator given by the divergence of the gradient of a function on Euclidean space.
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Marian Smoluchowski
Marian Smoluchowski (28 May 1872 – 5 September 1917) was a Polish physicist who worked in the Polish territories of the Austro-Hungarian Empire.
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Mass diffusivity
Diffusivity or diffusion coefficient is a proportionality constant between the molar flux due to molecular diffusion and the gradient in the concentration of the species (or the driving force for diffusion).
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Mass transfer
Mass transfer is the net movement of mass from one location, usually meaning stream, phase, fraction or component, to another.
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Maxima and minima
In mathematical analysis, the maxima and minima (the respective plurals of maximum and minimum) of a function, known collectively as extrema (the plural of extremum), are the largest and smallest value of the function, either within a given range (the local or relative extrema) or on the entire domain of a function (the global or absolute extrema).
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Momentum
In Newtonian mechanics, linear momentum, translational momentum, or simply momentum (pl. momenta) is the product of the mass and velocity of an object.
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Multiphase flow
In fluid mechanics, multiphase flow is simultaneous flow of (a) materials with different states or phases (i.e. gas, liquid or solid), or (b) materials with different chemical properties but in the same state or phase (i.e. liquid-liquid systems such as oil droplets in water).
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Natural convection
Natural convection is a mechanism, or type of heat transport, in which the fluid motion is not generated by any external source (like a pump, fan, suction device, etc.) but only by density differences in the fluid occurring due to temperature gradients.
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Navier–Stokes equations
In physics, the Navier–Stokes equations, named after Claude-Louis Navier and George Gabriel Stokes, describe the motion of viscous fluid substances.
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Nernst–Planck equation
The time dependent form of the Nernst–Planck equation is a conservation of mass equation used to describe the motion of a charged chemical species in a fluid medium.
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Numerical solution of the convection–diffusion equation
The convection–diffusion equation describes the flow of heat, particles, or other physical quantities in situations where there is both diffusion and convection or advection.
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Parabolic partial differential equation
A parabolic partial differential equation is a type of partial differential equation (PDE).
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Partial differential equation
In mathematics, a partial differential equation (PDE) is a differential equation that contains unknown multivariable functions and their partial derivatives.
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Poisson's equation
In mathematics, Poisson's equation is a partial differential equation of elliptic type with broad utility in mechanical engineering and theoretical physics.
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Porous medium
A porous medium or a porous material is a material containing pores (voids).
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Potential energy
In physics, potential energy is the energy possessed by an object because of its position relative to other objects, stresses within itself, its electric charge, or other factors.
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Probability distribution
In probability theory and statistics, a probability distribution is a mathematical function that provides the probabilities of occurrence of different possible outcomes in an experiment.
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Rayleigh–Bénard convection
Rayleigh–Bénard convection is a type of natural convection, occurring in a plane horizontal layer of fluid heated from below, in which the fluid develops a regular pattern of convection cells known as Bénard cells.
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Reaction–diffusion system
Reaction–diffusion systems are mathematical models which correspond to several physical phenomena: the most common is the change in space and time of the concentration of one or more chemical substances: local chemical reactions in which the substances are transformed into each other, and diffusion which causes the substances to spread out over a surface in space.
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Scalar (physics)
A scalar or scalar quantity in physics is a physical quantity that can be described by a single element of a number field such as a real number, often accompanied by units of measurement.
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Second derivative
In calculus, the second derivative, or the second order derivative, of a function is the derivative of the derivative of.
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Semiconductor
A semiconductor material has an electrical conductivity value falling between that of a conductor – such as copper, gold etc.
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Smoluchowski coagulation equation
In statistical physics, the Smoluchowski coagulation equation is a population balance equation introduced by Marian Smoluchowski in a seminal 1916 publication, describing the time evolution of the number density of particles as they coagulate (in this context "clumping together") to size x at time t. Simultaneous coagulation (or aggregation) is encountered in processes involving polymerization, coalescence of aerosols, emulsication, flocculation.
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Solenoidal vector field
In vector calculus a solenoidal vector field (also known as an incompressible vector field, a divergence-free vector field, or a '''transverse vector field''') is a vector field v with divergence zero at all points in the field.
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Steady state
In systems theory, a system or a process is in a steady state if the variables (called state variables) which define the behavior of the system or the process are unchanging in time.
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Stochastic differential equation
A stochastic differential equation (SDE) is a differential equation in which one or more of the terms is a stochastic process, resulting in a solution which is also a stochastic process.
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Superficial velocity
Superficial velocity (or superficial flow velocity), in engineering of multiphase flows and flows in porous media, is a hypothetical (artificial) flow velocity calculated as if the given phase or fluid were the only one flowing or present in a given cross sectional area.
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Thermal diffusivity
In heat transfer analysis, thermal diffusivity is the thermal conductivity divided by density and specific heat capacity at constant pressure.
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Thermodynamic temperature
Thermodynamic temperature is the absolute measure of temperature and is one of the principal parameters of thermodynamics.
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Velocity
The velocity of an object is the rate of change of its position with respect to a frame of reference, and is a function of time.
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Viscosity
The viscosity of a fluid is the measure of its resistance to gradual deformation by shear stress or tensile stress.
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Advection-diffusion equation, Advection–diffusion equation, Convection diffusion equation, Convection-diffusion equation, Convection-diffusion transport equation, Convection–diffusion transport equation, Drift-diffusion equation, Drift–diffusion equation, Generic scalar transport equation, Reaction-diffusion-advection equation, Reaction–diffusion–advection equation, Semiconductor diffusion current, Transport equation.
References
[1] https://en.wikipedia.org/wiki/Convection–diffusion_equation
