Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Mild-slope_equation> ?p ?o }
- Mild-slope_equation abstract "In fluid dynamics, the mild-slope equation describes the combined effects of diffraction and refraction for water waves propagating over bathymetry and due to lateral boundaries—like breakwaters and coastlines. It is an approximate model, deriving its name from being originally developed for wave propagation over mild slopes of the sea floor. The mild-slope equation is often used in coastal engineering to compute the wave-field changes near harbours and coasts.The mild-slope equation models the propagation and transformation of water waves, as they travel through waters of varying depth and interact with lateral boundaries such as cliffs, beaches, seawalls and breakwaters. As a result, it describes the variations in wave amplitude, or equivalently wave height. From the wave amplitude, the amplitude of the flow velocity oscillations underneath the water surface can also be computed. These quantities—wave amplitude and flow-velocity amplitude—may subsequently be used to determine the wave effects on coastal and offshore structures, ships and other floating objects, sediment transport and resulting geomorphology changes of the sea bed and coastline, mean flow fields and mass transfer of dissolved and floating materials. Most often, the mild-slope equation is solved by computer using methods from numerical analysis.A first form of the mild-slope equation was developed by Eckart in 1952, and an improved version—the mild-slope equation in its classical formulation—has been derived independently by Juri Berkhoff in 1972. Thereafter, many modified and extended forms have been proposed, to include the effects of, for instance: wave–current interaction, wave nonlinearity, steeper sea-bed slopes, bed friction and wave breaking. Also parabolic approximations to the mild-slope equation are often used, in order to reduce the computational cost.In case of a constant depth, the mild-slope equation reduces to the Helmholtz equation for wave diffraction.".
- Mild-slope_equation thumbnail CGWAVE_Tedious_Creek_MD.jpg?width=300.
- Mild-slope_equation wikiPageID "20112097".
- Mild-slope_equation wikiPageLength "24913".
- Mild-slope_equation wikiPageOutDegree "93".
- Mild-slope_equation wikiPageRevisionID "674723924".
- Mild-slope_equation wikiPageWikiLink Absolute_value.
- Mild-slope_equation wikiPageWikiLink Airy_wave_theory.
- Mild-slope_equation wikiPageWikiLink Amplitude.
- Mild-slope_equation wikiPageWikiLink Angular_frequency.
- Mild-slope_equation wikiPageWikiLink Arg_(mathematics).
- Mild-slope_equation wikiPageWikiLink Argument_(complex_analysis).
- Mild-slope_equation wikiPageWikiLink Average.
- Mild-slope_equation wikiPageWikiLink Bathymetry.
- Mild-slope_equation wikiPageWikiLink Beach.
- Mild-slope_equation wikiPageWikiLink Breaking_wave.
- Mild-slope_equation wikiPageWikiLink Breakwater_(structure).
- Mild-slope_equation wikiPageWikiLink Calculus_of_variations.
- Mild-slope_equation wikiPageWikiLink Carl_Eckart.
- Mild-slope_equation wikiPageWikiLink Category:Coastal_geography.
- Mild-slope_equation wikiPageWikiLink Category:Equations_of_fluid_dynamics.
- Mild-slope_equation wikiPageWikiLink Category:Water_waves.
- Mild-slope_equation wikiPageWikiLink Cliff.
- Mild-slope_equation wikiPageWikiLink Coast.
- Mild-slope_equation wikiPageWikiLink Coastal_engineering.
- Mild-slope_equation wikiPageWikiLink Coastline.
- Mild-slope_equation wikiPageWikiLink Coherence_(physics).
- Mild-slope_equation wikiPageWikiLink Complex-valued_amplitude.
- Mild-slope_equation wikiPageWikiLink Complex_amplitude.
- Mild-slope_equation wikiPageWikiLink Complex_number.
- Mild-slope_equation wikiPageWikiLink Compressibility.
- Mild-slope_equation wikiPageWikiLink Conservative_vector_field.
- Mild-slope_equation wikiPageWikiLink Crest_(physics).
- Mild-slope_equation wikiPageWikiLink Density.
- Mild-slope_equation wikiPageWikiLink Diffraction.
- Mild-slope_equation wikiPageWikiLink Dispersion_(water_waves).
- Mild-slope_equation wikiPageWikiLink Divergence.
- Mild-slope_equation wikiPageWikiLink Drag_(physics).
- Mild-slope_equation wikiPageWikiLink Earths_gravity.
- Mild-slope_equation wikiPageWikiLink Eikonal_equation.
- Mild-slope_equation wikiPageWikiLink Euler–Lagrange_equation.
- Mild-slope_equation wikiPageWikiLink Flow_velocity.
- Mild-slope_equation wikiPageWikiLink Fluid_dynamics.
- Mild-slope_equation wikiPageWikiLink Free_surface.
- Mild-slope_equation wikiPageWikiLink Geometric_optics.
- Mild-slope_equation wikiPageWikiLink Geometrical_optics.
- Mild-slope_equation wikiPageWikiLink Geomorphology.
- Mild-slope_equation wikiPageWikiLink Gradient.
- Mild-slope_equation wikiPageWikiLink Gravity_of_Earth.
- Mild-slope_equation wikiPageWikiLink Group_speed.
- Mild-slope_equation wikiPageWikiLink Group_velocity.
- Mild-slope_equation wikiPageWikiLink Hamiltonian_mechanics.
- Mild-slope_equation wikiPageWikiLink Harbor.
- Mild-slope_equation wikiPageWikiLink Harbour.
- Mild-slope_equation wikiPageWikiLink Harmonic.
- Mild-slope_equation wikiPageWikiLink Helmholtz_equation.
- Mild-slope_equation wikiPageWikiLink Hyperbolic_function.
- Mild-slope_equation wikiPageWikiLink Hyperbolic_tangent.
- Mild-slope_equation wikiPageWikiLink Imaginary_unit.
- Mild-slope_equation wikiPageWikiLink Incompressible.
- Mild-slope_equation wikiPageWikiLink Inhomogeneous_Helmholtz_equation.
- Mild-slope_equation wikiPageWikiLink Irrotational.
- Mild-slope_equation wikiPageWikiLink Kinetic_energy.
- Mild-slope_equation wikiPageWikiLink Lagrangian_(field_theory).
- Mild-slope_equation wikiPageWikiLink Lagrangian_density.
- Mild-slope_equation wikiPageWikiLink Laplace_equation.
- Mild-slope_equation wikiPageWikiLink Laplace_operator.
- Mild-slope_equation wikiPageWikiLink Laplaces_equation.
- Mild-slope_equation wikiPageWikiLink Linear_system.
- Mild-slope_equation wikiPageWikiLink Linear_theory.
- Mild-slope_equation wikiPageWikiLink Mass_transfer.
- Mild-slope_equation wikiPageWikiLink Monochromatic.
- Mild-slope_equation wikiPageWikiLink Monochrome.
- Mild-slope_equation wikiPageWikiLink Non-linear.
- Mild-slope_equation wikiPageWikiLink Nonlinear_system.
- Mild-slope_equation wikiPageWikiLink Nonlinearity.
- Mild-slope_equation wikiPageWikiLink Norm_(mathematics).
- Mild-slope_equation wikiPageWikiLink Numerical_analysis.
- Mild-slope_equation wikiPageWikiLink Parabolic_partial_differential_equation.
- Mild-slope_equation wikiPageWikiLink Phase_speed.
- Mild-slope_equation wikiPageWikiLink Phase_velocity.
- Mild-slope_equation wikiPageWikiLink Phasor.
- Mild-slope_equation wikiPageWikiLink Potential_energy.
- Mild-slope_equation wikiPageWikiLink Potential_flow.
- Mild-slope_equation wikiPageWikiLink Real_number.
- Mild-slope_equation wikiPageWikiLink Real_part.
- Mild-slope_equation wikiPageWikiLink Refraction.
- Mild-slope_equation wikiPageWikiLink Scalar_field.
- Mild-slope_equation wikiPageWikiLink Seawall.
- Mild-slope_equation wikiPageWikiLink Sediment_transport.
- Mild-slope_equation wikiPageWikiLink Stokes_boundary_layer.
- Mild-slope_equation wikiPageWikiLink Taylor_series.
- Mild-slope_equation wikiPageWikiLink Transpose.
- Mild-slope_equation wikiPageWikiLink Vector_calculus_identities.
- Mild-slope_equation wikiPageWikiLink Vector_length.
- Mild-slope_equation wikiPageWikiLink Velocity_potential.
- Mild-slope_equation wikiPageWikiLink Viscosity.
- Mild-slope_equation wikiPageWikiLink Vorticity.
- Mild-slope_equation wikiPageWikiLink Water_wave.
- Mild-slope_equation wikiPageWikiLink Wave_breaking.