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22 relations: Advection, Computational fluid dynamics, Conservation law, Divergence, Divergence theorem, Finite difference method, Finite element method, Finite volume method for two dimensional diffusion problem, Finite volume method for unsteady flow, Flux, Flux limiter, GNU Free Documentation License, Godunov's scheme, Godunov's theorem, High-resolution scheme, KIVA (software), MIT General Circulation Model, MUSCL scheme, Partial differential equation, Sergei K. Godunov, Surface integral, Total variation diminishing.
Advection
In the field of physics, engineering, and earth sciences, advection is the transport of a substance by bulk motion.
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Computational fluid dynamics
Computational fluid dynamics (CFD) is a branch of fluid mechanics that uses numerical analysis and data structures to solve and analyze problems that involve fluid flows.
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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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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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Divergence theorem
In vector calculus, the divergence theorem, also known as Gauss's theorem or Ostrogradsky's theorem, reprinted in is a result that relates the flow (that is, flux) of a vector field through a surface to the behavior of the vector field inside the surface.
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Finite difference method
In mathematics, finite-difference methods (FDM) are numerical methods for solving differential equations by approximating them with difference equations, in which finite differences approximate the derivatives.
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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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Finite volume method for two dimensional diffusion problem
The methods used for solving two dimensional Diffusion problems are similar to those used for one dimensional problems.
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Finite volume method for unsteady flow
Unsteady flows are characterized as flows in which the properties of the fluid are time dependent.
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Flux
Flux describes the quantity which passes through a surface or substance.
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Flux limiter
Flux limiters are used in high resolution schemes – numerical schemes used to solve problems in science and engineering, particularly fluid dynamics, described by partial differential equations (PDE's).
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GNU Free Documentation License
The GNU Free Documentation License (GNU FDL or simply GFDL) is a copyleft license for free documentation, designed by the Free Software Foundation (FSF) for the GNU Project.
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Godunov's scheme
In numerical analysis and computational fluid dynamics, Godunov's scheme is a conservative numerical scheme, suggested by S. K. Godunov in 1959, for solving partial differential equations.
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Godunov's theorem
In numerical analysis and computational fluid dynamics, Godunov's theorem — also known as Godunov's order barrier theorem — is a mathematical theorem important in the development of the theory of high resolution schemes for the numerical solution of partial differential equations.
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High-resolution scheme
High-resolution schemes are used in the numerical solution of partial differential equations where high accuracy is required in the presence of shocks or discontinuities.
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KIVA (software)
KIVA is a family of Fortran-based Computational Fluid Dynamics software developed by Los Alamos National Laboratory (LANL).
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MIT General Circulation Model
The MIT General Circulation Model (MITgcm) is a numerical computer code that solves the equations of motion governing the ocean or Earth's atmosphere using the finite volume method.
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MUSCL scheme
In the study of partial differential equations, the MUSCL scheme is a finite volume method that can provide highly accurate numerical solutions for a given system, even in cases where the solutions exhibit shocks, discontinuities, or large gradients.
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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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Sergei K. Godunov
Sergei Konstantinovich Godunov (Серге́й Константи́нович Годуно́в; born July 17, 1929) is professor at the Sobolev Institute of Mathematics of the Russian Academy of Sciences in Novosibirsk, Russia.
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Surface integral
In mathematics, a surface integral is a generalization of multiple integrals to integration over surfaces.
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Total variation diminishing
In numerical methods, total variation diminishing (TVD) is a property of certain discretization schemes used to solve hyperbolic partial differential equations.
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References
[1] https://en.wikipedia.org/wiki/Finite_volume_method
