CoefficientMatrix#

Examples using this class are:

class osaft.solutions.doinikov1994compressible.scattering.CoefficientMatrix(f, R_0, rho_s, c_s, eta_s, zeta_s, rho_f, c_f, eta_f, zeta_f, p_0, wave_type, position)[source]#

Bases: BaseDoinikov1994Compressible

Coefficient Matrix Doinikov (viscous fluid-viscous sphere; 1994)

Parameters:

f (Frequency | float | int) – Frequency [Hz]
R_0 (Sphere | float | int) – Radius of the sphere [m]
rho_s (float) – Density of the sphere [kg/m^3]
c_s (float) – Speed of sound of in the sphere [m/s]
eta_s (float) – shear viscosity of in the sphere [Pa s]
zeta_s (float) – bulk viscosity of in the sphere [Pa s]
rho_f (float) – Density of the fluid [kg/m^3]
c_f (float) – Speed of sound of the fluid [m/s]
eta_f (float) – shear viscosity [Pa s]
zeta_f (float) – bulk viscosity [Pa s]
p_0 (float) – Pressure amplitude of the field [Pa]
position (float) – Position within the standing wave field [m]
wave_type (WaveType) – Type of wave, traveling or standing

Public Data Attributes:

`x_hat`	Product of `k_s` and `R_0` \(\hat{x}=k_s R_0\)
`x_hat_v`	Product of `k_vs` and `R_0` \(\hat{x}_v=\hat{k}_s R_0\)

Inherited from BaseDoinikov1994Compressible

`supported_wavetypes`
`rho_s`	Wraps to `osaft.core.solids.RigidSolid.rho_s`
`kappa_s`	Wraps to `osaft.core.fluids.ViscousFluid.kappa_f`
`k_s`	Wraps to `osaft.core.fluids.ViscousFluid.k_f`
`k_vs`	Wraps to `osaft.core.fluids.ViscousFluid.k_v`
`c_s`	Wraps to `osaft.core.fluids.ViscousFluid.c_f`
`eta_s`	Wraps to `osaft.core.fluids.ViscousFluid.eta_f`
`zeta_s`	Wraps to `osaft.core.fluids.ViscousFluid.zeta_f`

Inherited from BaseDoinikov1994

`x`	Product of `k_f` and `R_0` \(\hat{x}=k_f R_0\)
`x_v`	Product of `k_v` and `R_0` \(x_v=k_v R_0\)
`x_0`	Real part of \(x\)
`norm_delta`	normalized viscous boundary thickness \(\tilde{\delta}=\frac{\delta}{R_0}\)
`position`	Wraps to `osaft.core.backgroundfields.BackgroundField.position`
`p_0`	Wraps to `osaft.core.backgroundfields.BackgroundField.p_0`
`wave_type`	Wraps to `osaft.core.backgroundfields.BackgroundField.wave_type`
`rho_f`	Wraps to `osaft.core.fluids.ViscousFluid.rho_f`
`c_f`	Wraps to `osaft.core.fluids.ViscousFluid.c_f`
`eta_f`	Wraps to `osaft.core.fluids.ViscousFluid.eta_f`
`zeta_f`	Wraps to `osaft.core.fluids.ViscousFluid.zeta_f`
`rho_t`	Returns the ratio of the densities \(\tilde{\rho}=\frac{\rho_f}{\rho_s}\)
`kappa_f`	Wraps to `osaft.core.fluids.ViscousFluid.kappa_f`
`k_f`	Wraps to `osaft.core.fluids.ViscousFluid.k_f`
`k_v`	Wraps to `osaft.core.fluids.ViscousFluid.k_v`
`delta`	Wraps to `osaft.core.fluids.ViscousFluid.delta`
`abs_pos`	Wraps to `osaft.core.backgroundfields.BackgroundField.abs_pos`

Inherited from BaseSphereFrequencyComposite

`R_0`	Wrapper for `osaft.core.geometries.Sphere.R_0`
`area`	Wrapper for `osaft.core.geometries.Sphere.area`
`volume`	Wrapper for `osaft.core.geometries.Sphere.volume`

Inherited from BaseFrequencyComposite

`f`	wrapper for `osaft.core.frequency.Frequency.f`
`omega`	wrapper for `osaft.core.frequency.Frequency.omega`

Inherited from BaseSolution

`supported_wavetypes`
`wave_type`	returns the wave type of the solution

Public Methods:

`det_M_n`(n[, column])	Determinant of the matrix M for the mode n
`M`(n)	Matrix M of order n
`N`(n)	Vector N

Inherited from BaseDoinikov1994

A_in(n)

Wraps to osaft.core.backgroundfields.BackgroundField.A_in

Inherited from BaseFrequencyComposite

input_variables()

Returns all properties that are settable.

Inherited from BaseSolution

`copy`()	Returns a copy of the object
`check_wave_type`()	Checks if `wave_type` is in `supported_wavetypes`

A_in(n)#

Wraps to osaft.core.backgroundfields.BackgroundField.A_in

Parameters:: n (int) – mode number
Return type:: complex

M(n)[source]#

Matrix M of order n

Parameters:: n (int) – order
Return type:: ndarray

N(n)[source]#

Vector N

Parameters:: n (int) –
Return type:: ndarray

check_wave_type()#

Checks if wave_type is in supported_wavetypes

Raises:: WrongWaveTypeError – If wave_type is not supported
Return type:: None

copy()#

Returns a copy of the object

Return type:: BaseSolution

det_M_n(n, column=None)[source]#

Determinant of the matrix M for the mode n

Parameters:

n (int) – mode
column (None | int, optional) – the l`th coefficient is replaced with the vector `N
Default: None

Return type:

complex

classmethod input_variables()#

Returns all properties that are settable.

Returns a list of the names of all properties that are settable, i.e. all properties that wrap a PassiveVariable.

Return type:: list[str]

property R_0: float#: Wrapper for osaft.core.geometries.Sphere.R_0

property abs_pos: float#: Wraps to osaft.core.backgroundfields.BackgroundField.abs_pos

property area: float#: Wrapper for osaft.core.geometries.Sphere.area

property c_f: float#: Wraps to osaft.core.fluids.ViscousFluid.c_f

property c_s: float#: Wraps to osaft.core.fluids.ViscousFluid.c_f

property delta: float#: Wraps to osaft.core.fluids.ViscousFluid.delta

property eta_f: float#: Wraps to osaft.core.fluids.ViscousFluid.eta_f

property eta_s: float#: Wraps to osaft.core.fluids.ViscousFluid.eta_f

property f: float#: wrapper for osaft.core.frequency.Frequency.f

property k_f: complex#: Wraps to osaft.core.fluids.ViscousFluid.k_f

property k_s: complex#: Wraps to osaft.core.fluids.ViscousFluid.k_f

property k_v: complex#: Wraps to osaft.core.fluids.ViscousFluid.k_v

property k_vs: complex#: Wraps to osaft.core.fluids.ViscousFluid.k_v

property kappa_f: float#: Wraps to osaft.core.fluids.ViscousFluid.kappa_f

property kappa_s: float#: Wraps to osaft.core.fluids.ViscousFluid.kappa_f

property norm_delta: float#: normalized viscous boundary thickness \(\tilde{\delta}=\frac{\delta}{R_0}\)

property omega: float#: wrapper for osaft.core.frequency.Frequency.omega

property p_0: float#: Wraps to osaft.core.backgroundfields.BackgroundField.p_0

property position: float#: Wraps to osaft.core.backgroundfields.BackgroundField.position

property rho_f: float#: Wraps to osaft.core.fluids.ViscousFluid.rho_f

property rho_s: float#: Wraps to osaft.core.solids.RigidSolid.rho_s

property rho_t: float#: Returns the ratio of the densities \(\tilde{\rho}=\frac{\rho_f}{\rho_s}\)

property volume: float#: Wrapper for osaft.core.geometries.Sphere.volume

property wave_type: WaveType#: Wraps to osaft.core.backgroundfields.BackgroundField.wave_type

property x: complex#: Product of k_f and R_0 \(\hat{x}=k_f R_0\)

property x_0: complex#: Real part of \(x\)

property x_hat: complex#: Product of k_s and R_0 \(\hat{x}=k_s R_0\)

property x_hat_v: complex#: Product of k_vs and R_0 \(\hat{x}_v=\hat{k}_s R_0\)

property x_v: complex#: Product of k_v and R_0 \(x_v=k_v R_0\)

property zeta_f: float#: Wraps to osaft.core.fluids.ViscousFluid.zeta_f

property zeta_s: float#: Wraps to osaft.core.fluids.ViscousFluid.zeta_f