Euler equations (fluid dynamics)
GPTKB entity
Statements (51)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
system of partial differential equations
|
| gptkbp:appliesTo |
compressible flow
incompressible flow |
| gptkbp:assumes |
gptkb:continuum_hypothesis
no heat conduction no viscosity |
| gptkbp:describes |
motion of inviscid fluids
|
| gptkbp:field |
fluid dynamics
|
| gptkbp:form |
nonlinear partial differential equations
|
| gptkbp:formedBy |
1757
|
| gptkbp:governs |
ideal fluid flow
|
| gptkbp:hasSpecialCase |
gptkb:Navier-Stokes_equations_(with_zero_viscosity)
|
| https://www.w3.org/2000/01/rdf-schema#label |
Euler equations (fluid dynamics)
|
| gptkbp:ignores |
viscosity
|
| gptkbp:includes |
conservation of energy
conservation of momentum conservation of mass continuity equation energy equation momentum equation |
| gptkbp:namedAfter |
gptkb:Leonhard_Euler
|
| gptkbp:numberOfEquations |
three in 3D
|
| gptkbp:relatedTo |
gptkb:Navier-Stokes_equations
gptkb:Riemann_problem gptkb:Rankine–Hugoniot_conditions gptkb:Bernoulli's_equation conservation laws conservative variables primitive variables |
| gptkbp:solutionMethods |
analytical methods
numerical methods |
| gptkbp:usedFor |
gptkb:vortex_dynamics
shock wave analysis potential flow theory supersonic flow subsonic flow |
| gptkbp:usedIn |
gptkb:mathematics
astrophysics climate modeling computational fluid dynamics engineering geophysics hydrodynamics meteorology oceanography physics space science aerodynamics weather modeling |
| gptkbp:bfsParent |
gptkb:The_Hamiltonian_Structure_of_the_Euler_Equations_of_Incompressible_Fluid_Flow
|
| gptkbp:bfsLayer |
7
|