Knowra Hydrodynamic model Hydrodynamic model A mathematical or computational representation of fluid motion and its interactions with forces, boundaries, or other fluids. It may range from simplified equations to numerical simulations.
Navier–Stokes equations : Nonlinear equations describing the motion of viscous fluids through conservation of mass and momentum. They provide the standard continuum equations that many hydrodynamic models solve or approximate.
Fluid mechanics : The study of fluids at rest and in motion, including the forces and laws governing their behavior. Hydrodynamic models formalize problems drawn from this broader physical subject.
Weather forecasting : The prediction of future atmospheric conditions using observations and mathematical models. Numerical weather prediction uses fluid-dynamical models to evolve atmospheric winds and pressure.
Lattice Boltzmann method : A computational fluid method that evolves particle distribution functions on a discrete lattice. It offers an alternative to directly discretizing continuum flow equations, especially for complex boundaries.
Continuity equation : A conservation equation stating that changes in a quantity within a region balance its flux across the boundary. For fluid models, it expresses mass conservation and constrains the velocity field.
Continuum mechanics : The framework that represents matter as continuously distributed quantities rather than discrete particles. Most hydrodynamic models treat density, velocity, and pressure as fields defined at every point.
Ocean circulation model : A numerical representation of ocean currents, temperature, salinity, and their evolution. It applies hydrodynamic equations to currents shaped by coastlines, winds, and density differences.
Smoothed-particle hydrodynamics : A mesh-free computational method that represents fluids with interacting particles and smoothed fields. It handles free surfaces and large deformations differently from grid-based hydrodynamic models.
Boundary condition : A mathematical constraint specifying a solution's behavior at the edge of a domain or interface. Wall, surface, and inflow conditions determine how a model's fluid interacts with its surroundings.
Constitutive equation : A relation specifying how a material responds to deformation, flow, or other physical conditions. It supplies material behavior, such as viscosity, that conservation laws alone do not determine.
Show all 21