Euler equations
E32276
The Euler equations are fundamental partial differential equations in fluid dynamics that describe the motion of an ideal (inviscid) fluid without viscosity.
Aliases (1)
Statements (51)
| Predicate | Object |
|---|---|
| instanceOf |
conservation law
→
fluid dynamics equation → system of partial differential equations → |
| appliesTo |
compressible flow
→
incompressible flow → inviscid flow → |
| assumes |
continuum hypothesis
→
inviscid fluid → zero viscosity → |
| describes |
motion of an ideal fluid
→
|
| dimension |
one-dimensional form
→
three-dimensional form → two-dimensional form → |
| expresses |
conservation of energy
→
conservation of mass → conservation of momentum → |
| field |
applied mathematics
→
continuum mechanics → fluid dynamics → |
| hasComponent |
continuity equation
→
energy equation → momentum equation → |
| hasFormulation |
conservative form
→
nonconservative form → primitive variable form → vector form → |
| hasProperty |
Galilean invariant
→
can develop discontinuities → can develop shock waves → time-dependent → |
| hasUnknown |
density field
→
fluid velocity field → internal energy or temperature field → pressure field → |
| isLimitCaseOf |
Navier–Stokes equations with zero viscosity
→
|
| mathematicalType |
hyperbolic system
→
nonlinear partial differential equation → |
| namedAfter |
Leonhard Euler
→
|
| relatedTo |
Bernoulli equation
→
Navier–Stokes equations → potential flow theory → |
| requires |
equation of state
→
|
| solvedBy |
Godunov-type schemes
→
finite difference methods → finite volume methods → spectral methods → |
| usedIn |
aerodynamics
→
astrophysical fluid dynamics → compressible aerodynamics → gas dynamics → weather and climate modeling → |
Referenced by (3)
| Subject (surface form when different) | Predicate |
|---|---|
|
Boltzmann equation
("Euler equations (hydrodynamic limit)")
→
|
hasLimit |
|
Navier–Stokes equations
→
|
relatedTo |
|
New Keynesian economics
→
|
usesTool |