Field creation model using the streaming total dynamic mode decomposition method (STDMD). More...

Inheritance diagram for DMD:

Collaboration diagram for DMD:

Public Member Functions
	TypeName ("DMD")
	Runtime type information. More...

	DMD (Time &runTime, fvMesh &mesh, const dictionary &dict, const instantList &times)
	Construct from components. More...

	DMD (const DMD &)=delete
	No copy construct. More...

void	operator= (const DMD &)=delete
	No copy assignment. More...

virtual	~DMD ()=default
	Destructor. More...

virtual bool	read (const dictionary &dict)
	Read model settings. More...

virtual bool	createAndWrite ()
	Create and write fields. More...

Public Member Functions inherited from ROMmodel
	TypeName ("ROMmodel")
	Runtime type information. More...

	declareRunTimeSelectionTable (autoPtr, ROMmodel, dictionary,(Time &runTime, fvMesh &mesh, const dictionary &dict, const instantList &times),(runTime, mesh, dict, times))

	ROMmodel (Time &runTime, fvMesh &mesh, const dictionary &dict, const instantList &times)
	Construct from components. More...

	ROMmodel (const ROMmodel &)=delete
	No copy construct. More...

void	operator= (const ROMmodel &)=delete
	No copy assignment. More...

virtual	~ROMmodel ()=default
	Destructor. More...

Additional Inherited Members
Static Public Member Functions inherited from ROMmodel
static autoPtr< ROMmodel >	New (Time &runTime, fvMesh &mesh, const dictionary &dict, const instantList &times)
	Return a reference to the selected ROMmodel. More...

Protected Attributes inherited from ROMmodel
Time &	runTime_
	Reference to the Time. More...

fvMesh &	mesh_
	Reference to the fvMesh. More...

const dictionary &	dict_
	Const reference to the dictionary. More...

const instantList &	times_
	Const reference to field times. More...

Detailed Description

Field creation model using the streaming total dynamic mode decomposition method (STDMD).

The governing equations of the field creation are as follows:

$\mathbf{x}_\tau \approx \tilde{\mathbf{x}_\tau} = \left( \sum_{i=0}^{N-1} \phi_i \alpha_i v_i^\tau \right)_{real}$

with

$\tau = \frac{t - t_o}{\Delta t}$

where:

$\mathbf{x}$	=	Field snapshot at time t
$\tilde{\mathbf{x}}$	=	Reconstructed field snapshot at time t (complex)
	=	Number of modes
	=	Mode index
$\tau$	=	Nondimensional time
	=	Time [s]
	=	Start time (of mode decomposition calculations) [s]
$\Delta t$	=	Time-step size of mode decomposition [s]
$\phi$	=	Mode (complex)
$\alpha$	=	Mode amplitude (complex)
	=	Mode eigenvalue (complex)

References:

        Governing equations (tag:K):
            Kiewat, M. (2019).
            Streaming modal decomposition approaches for vehicle aerodynamics.
            PhD thesis. Munich: Technical University of Munich.
            URL:mediatum.ub.tum.de/doc/1482652/1482652.pdf

Operands:

Operand	Type	Location
`input`	{vol,surface}<Type>Field	<time>/<inpField>
`output` file	-	-
`output` field	{vol,surface}<Type>Field	<time>/<outField>

where <Type>=Scalar/Vector/SphericalTensor/SymmTensor/Tensor.

Usage

Minimal example by using system/ROMfieldsDict:

    // Mandatory entries
    field           <word>;
    object          <word>;
    deltaT          <scalar>;
    time            <scalar>;
    modes           <labelList>;
    amplitudes      <complexList>;
    eigenvalues     <complexList>;

    // Optional entries
    startTime       <scalar>;
    dimensions      <dimensionSet>;

where the entries mean:

Property	Description	Type	Reqd	Deflt
`field`	Name of reconstructed field	word	yes	-
`object`	Name of operand function object	word	yes	-
`deltaT`	Time-step size of mode decomposition	scalar	yes	-
`time`	Time instant where modes are located	scalar	yes	-
`modes`	List of mode indices	labelList	yes	-
`amplitudes`	Amplitude coefficients	complexList	yes	-
`eigenvalues`	Eigenvalues	complexList	yes	-
`startTime`	Start time for mode-information collection	scalar	no	0
`dimensions`	Dimensions of reconstructed fields	dimensionSet	no	-

Source files

Definition at line 251 of file DMD.H.

Constructor & Destructor Documentation

◆ DMD() [1/2]

DMD	(	Time &	runTime,
		fvMesh &	mesh,
		const dictionary &	dict,
		const instantList &	times
	)

Construct from components.

◆ DMD() [2/2]

DMD ( const DMD & )

delete

No copy construct.

◆ ~DMD()

virtual ~DMD ( )

virtualdefault

Destructor.

Member Function Documentation

◆ TypeName()

TypeName ( "DMD" )

Runtime type information.

◆ operator=()

void operator= ( const DMD & )

delete

No copy assignment.

◆ read()

virtual bool read ( const dictionary & dict )

virtual

Read model settings.

Implements ROMmodel.

◆ createAndWrite()

virtual bool createAndWrite ( )