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When Linearised Model of Finite Depth Waves is Not a Sufficient Model
Announcing the arrival of Valued Associate #679: Cesar Manara
Planned maintenance scheduled April 23, 2019 at 23:30 UTC (7:30pm US/Eastern)Surface tensionNewton Raphson Convergence problem. 3 unkowns (2 scalars, 1 vector)When do the paths of two dispersive waves cross?Divergence theorem not consistent when calculating the flux of $F= (x^k,y^k,z^k)$ on $S^2$?How to examine time integration order of accuracy when solving acoustic wave equation using Finite Element Methodwater wave and fluids dispersion relationBernoulli equation for pressure (with the vortex)The dispersion relation and the critical wavelengthHow are signal processing techniques like wave-shaping applied to complex waves for which we do not know the equation?How to interpret a model for the angle of attack, when the translational velocities are tiny?
$begingroup$
I have been investigating the linearised model of water wave motion in a finite depth fluid. In my particular case the flow is Inviscid, Irrotational and Incompressible and surface tension effects are negligable.
The model considers the sea bed as a non-uniform surface (with small sinusoidal perturbations which have an extremely small amplitude compared to the fluid depth) which is moving at some constant horizontal velocity $U$ relative to the water.
My question is if I increase $U$ I believe that this will result in forced waves with much greater wavelengths than if $U$ was small.
- Is this indeed the case?
- Will this comprimise the effectiveness of the model? i.e. will us neglecting surface tension effects no longer be a good fit, and will we need to consider higher order terms (non-linear boundary conditions).
vector-analysis boundary-value-problem wave-equation fluid-dynamics non-linear-dynamics
asked Apr 2 at 8:59
Joel BiffinJoel Biffin
1018
$endgroup$
add a comment |
$begingroup$
I have been investigating the linearised model of water wave motion in a finite depth fluid. In my particular case the flow is Inviscid, Irrotational and Incompressible and surface tension effects are negligable.
The model considers the sea bed as a non-uniform surface (with small sinusoidal perturbations which have an extremely small amplitude compared to the fluid depth) which is moving at some constant horizontal velocity $U$ relative to the water.
My question is if I increase $U$ I believe that this will result in forced waves with much greater wavelengths than if $U$ was small.
- Is this indeed the case?
- Will this comprimise the effectiveness of the model? i.e. will us neglecting surface tension effects no longer be a good fit, and will we need to consider higher order terms (non-linear boundary conditions).
vector-analysis boundary-value-problem wave-equation fluid-dynamics non-linear-dynamics
asked Apr 2 at 8:59
Joel BiffinJoel Biffin
1018
$endgroup$
add a comment |
$begingroup$
I have been investigating the linearised model of water wave motion in a finite depth fluid. In my particular case the flow is Inviscid, Irrotational and Incompressible and surface tension effects are negligable.
The model considers the sea bed as a non-uniform surface (with small sinusoidal perturbations which have an extremely small amplitude compared to the fluid depth) which is moving at some constant horizontal velocity $U$ relative to the water.
My question is if I increase $U$ I believe that this will result in forced waves with much greater wavelengths than if $U$ was small.
- Is this indeed the case?
- Will this comprimise the effectiveness of the model? i.e. will us neglecting surface tension effects no longer be a good fit, and will we need to consider higher order terms (non-linear boundary conditions).
vector-analysis boundary-value-problem wave-equation fluid-dynamics non-linear-dynamics
asked Apr 2 at 8:59
Joel BiffinJoel Biffin
1018
$endgroup$
I have been investigating the linearised model of water wave motion in a finite depth fluid. In my particular case the flow is Inviscid, Irrotational and Incompressible and surface tension effects are negligable.
The model considers the sea bed as a non-uniform surface (with small sinusoidal perturbations which have an extremely small amplitude compared to the fluid depth) which is moving at some constant horizontal velocity $U$ relative to the water.
My question is if I increase $U$ I believe that this will result in forced waves with much greater wavelengths than if $U$ was small.
- Is this indeed the case?
- Will this comprimise the effectiveness of the model? i.e. will us neglecting surface tension effects no longer be a good fit, and will we need to consider higher order terms (non-linear boundary conditions).
vector-analysis boundary-value-problem wave-equation fluid-dynamics non-linear-dynamics
vector-analysis boundary-value-problem wave-equation fluid-dynamics non-linear-dynamics
asked Apr 2 at 8:59
Joel BiffinJoel Biffin
1018
asked Apr 2 at 8:59
Joel BiffinJoel Biffin
1018
asked Apr 2 at 8:59
Joel BiffinJoel Biffin
1018
asked Apr 2 at 8:59
Joel BiffinJoel Biffin
1018
asked Apr 2 at 8:59
Joel BiffinJoel Biffin
1018
1018
add a comment |
add a comment |
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