Godunov's method

E680772

conservative scheme finite volume method method for hyperbolic partial differential equations numerical method shock-capturing scheme

Godunov's method is a numerical scheme for solving hyperbolic partial differential equations that uses exact or approximate Riemann solvers to compute fluxes at cell interfaces in finite-volume discretizations.

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Observed surface forms (2)

Surface form	Occurrences
Godounov	1
Godunov's scheme	1

Statements (47)

Predicate	Object
instanceOf	conservative scheme ⓘ finite volume method ⓘ method for hyperbolic partial differential equations ⓘ numerical method ⓘ shock-capturing scheme ⓘ
appliesTo	Euler equations of gas dynamics NERFINISHED ⓘ magnetohydrodynamics equations ⓘ shallow water equations ⓘ traffic flow models ⓘ
basedOn	Riemann problem at cell interfaces ⓘ finite volume discretization ⓘ
canBeExtendedTo	higher-order Godunov-type schemes ⓘ
category	computational fluid dynamics ⓘ computational physics ⓘ numerical analysis ⓘ
computes	numerical fluxes at cell interfaces ⓘ
designedFor	contact discontinuities ⓘ discontinuous solutions ⓘ shock waves ⓘ
ensures	conservation of energy ⓘ conservation of mass ⓘ conservation of momentum ⓘ
hasOrderOfAccuracy	first order in space ⓘ first order in time ⓘ
hasProperty	L1-contractive for scalar convex conservation laws ⓘ monotone for scalar convex conservation laws ⓘ
introducedBy	Sergei K. Godunov NERFINISHED ⓘ
introducedIn	1959 ⓘ
isSpecialCaseOf	Godunov-type finite volume schemes NERFINISHED ⓘ
namedAfter	Sergei K. Godunov NERFINISHED ⓘ
preserves	conservation form of PDEs ⓘ
relatedTo	ENO schemes ⓘ HLL Riemann solver NERFINISHED ⓘ HLLC Riemann solver NERFINISHED ⓘ MUSCL scheme NERFINISHED ⓘ Roe scheme NERFINISHED ⓘ TVD schemes ⓘ WENO schemes NERFINISHED ⓘ
requires	CFL stability condition ⓘ
solves	local Riemann problems at each cell interface ⓘ
timeDiscretization	explicit time stepping ⓘ
usedFor	computational fluid dynamics ⓘ gas dynamics simulations ⓘ solving hyperbolic conservation laws ⓘ solving systems of hyperbolic PDEs ⓘ
uses	approximate Riemann solvers ⓘ exact Riemann solvers ⓘ

Referenced by (3)

Full triples — surface form annotated when it differs from this entity's canonical label.

Godunov-type schemes → basedOn → Godunov's method ⓘ

Godunov → hasVariantTransliteration → Godunov's method ⓘ

this entity surface form: Godounov

Godunov → notableFor → Godunov's method ⓘ

subject surface form: Sergei K. Godunov

this entity surface form: Godunov's scheme