CoefficientMatrix#

Examples using this class are:

Doinikov 2021 Viscous - Convergence Study

Fluid: Acoustic velocity plots with arrows

class osaft.solutions.basedoinikov2021.coefficientmatrix.CoefficientMatrix(f, R_0, rho_s, E_s, nu_s, fluid, p_0, wave_type, position=None)[source]#

Bases: BaseDoinikov, ABC

Coefficient matrix class for scattering field class for Doinikov (viscous fluid-elastic sphere; 2021)

Parameters:

f (Frequency | float) – frequency [Hz]
R_0 (Sphere | float) – radius [m]
rho_s (float) – density of the particle [kg/m^3]
E_s (float) – Young’s modulus of the particle [Pa]
nu_s (float) – Poisson’s ratio of the particle [-]
fluid (ViscousFluid | ViscoelasticFluid) – Fluid instance of the model
p_0 (float) – pressure amplitude [Pa]
wave_type (WaveType) – wave type
position (None | float, optional) – position in the standing wave field [m]
Default: None

Public Data Attributes:

Inherited from BaseDoinikov

`supported_wavetypes`
`eta`	Fluid shear viscosity.
`zeta`	Fluid bulk viscosity.
`x_l`	Dimensionless primary wavenumber in the solid
`x_t`	Dimensionless secondary wavenumber in the solid
`x_f`	Dimensionless acoustic wavenumber in the fluid
`x_v`	Dimensionless viscous wavenumber in the fluid
`rho_s`	Wraps to `osaft.core.solids.ElasticSolid.rho_s`
`E_s`	Wraps to `osaft.core.solids.ElasticSolid.E_s`
`nu_s`	Wraps to `osaft.core.solids.ElasticSolid.nu_s`
`k_l`	Wraps to `osaft.core.solids.ElasticSolid.k_l`
`k_t`	Wraps to `osaft.core.solids.ElasticSolid.k_t`
`rho_f`	Wraps to `osaft.core.fluids.ViscousFluid.rho_0` or to `osaft.core.fluids.ViscoelasticFluid.rho_0`
`c_f`	Wraps to `osaft.core.fluids.ViscousFluid.c_f` or to `osaft.core.fluids.ViscoelasticFluid.c_f`
`eta_f`	Wraps to `osaft.core.fluids.ViscousFluid.eta_f` or to `osaft.core.fluids.ViscoelasticFluid.eta_f`
`zeta_f`	Wraps to `osaft.core.fluids.ViscousFluid.zeta_f` or to `osaft.core.fluids.ViscoelasticFluid.zeta_f`
`k_f`	Wraps to `osaft.core.fluids.ViscousFluid.k_f` or to `osaft.core.fluids.ViscoelasticFluid.k_f`
`k_v`	Wraps to `osaft.core.fluids.ViscousFluid.k_v` or to `osaft.core.fluids.ViscoelasticFluid.k_v`
`delta`	Wraps to `osaft.core.fluids.ViscousFluid.delta` or to `osaft.core.fluids.ViscoelasticFluid.delta`
`lambda_v`	Wraps to `osaft.core.fluids.ViscousFluid.lambda_v` or to `osaft.core.fluids.ViscoelasticFluid.lambda_v`
`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`

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
`matrix_M`(n)	Matrix \(M_l\)
`vector_n`(n)	Vector \(n_l\)
`viscosity_term`()	Often used function of fluids shear and bulk viscosity
`a_0`()	Coefficient \(a_0\) [m^2/s]
`a_hat_0`()	Coefficient \(\hat{a}_0\) [m^2/s]
`D_0`()	Coefficient \(D_0\)

Inherited from BaseDoinikov

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

D_0()[source]#

Coefficient \(D_0\)

(Eq. A17)

Returns:: coefficient D_0

a_0()[source]#

Coefficient \(a_0\) [m^2/s]

(Eq. A15)

Returns:: coefficient a_0

a_hat_0()[source]#

Coefficient \(\hat{a}_0\) [m^2/s]

(Eq. A15)

Returns:: coefficient a_0

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]

matrix_M(n)[source]#

Matrix \(M_l\)

(Eq. A19 - A 22)

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

vector_n(n)[source]#

Vector \(n_l\)

(Eq. A19 - A 22)

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

viscosity_term()[source]#

Often used function of fluids shear and bulk viscosity

Return type:: complex

property E_s: float#: Wraps to osaft.core.solids.ElasticSolid.E_s

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

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

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

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

abstract property eta: float | complex#: Fluid shear viscosity. For a osaft.core.fluids.ViscousFluid returns \(\eta_f\), for a osaft.core.fluids.ViscoelasticFluid returns \(\eta_c\).

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

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

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

property k_l: float#: Wraps to osaft.core.solids.ElasticSolid.k_l

property k_t: float#: Wraps to osaft.core.solids.ElasticSolid.k_t

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

property lambda_v: float#: Wraps to osaft.core.fluids.ViscousFluid.lambda_v or to osaft.core.fluids.ViscoelasticFluid.lambda_v

property nu_s: float#: Wraps to osaft.core.solids.ElasticSolid.nu_s

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_0 or to osaft.core.fluids.ViscoelasticFluid.rho_0

property rho_s: float#: Wraps to osaft.core.solids.ElasticSolid.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_f#

Dimensionless acoustic wavenumber in the fluid

\(k_f \cdot R_0\)

property x_l#

Dimensionless primary wavenumber in the solid

\(k_l \cdot R_0\)

property x_t#

Dimensionless secondary wavenumber in the solid

\(k_t \cdot R_0\)

property x_v#

Dimensionless viscous wavenumber in the fluid

\(k_v \cdot R_0\)

abstract property zeta: float | complex#: Fluid bulk viscosity. For a osaft.core.fluids.ViscousFluid returns \(\zeta_f\), for a osaft.core.fluids.ViscoelasticFluid returns \(\zeta_c\).

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