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Nektar::ROutflow Class Reference

A global linear system. More...

#include <ROutflow.h>

Inheritance diagram for Nektar::ROutflow:
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Public Member Functions

 ROutflow (Array< OneD, MultiRegions::ExpListSharedPtr > pVessel, const LibUtilities::SessionReaderSharedPtr pSession, PulseWavePressureAreaSharedPtr pressureArea)
 
virtual ~ROutflow ()
 
- Public Member Functions inherited from Nektar::PulseWaveBoundary
 PulseWaveBoundary (Array< OneD, MultiRegions::ExpListSharedPtr > &pVessel, const LibUtilities::SessionReaderSharedPtr &pSession, PulseWavePressureAreaSharedPtr &pressureArea)
 
virtual ~PulseWaveBoundary ()
 
void DoBoundary (const Array< OneD, const Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &A_0, Array< OneD, Array< OneD, NekDouble > > &beta, const NekDouble time, int omega, int offset, int n)
 

Static Public Member Functions

static PulseWaveBoundarySharedPtr create (Array< OneD, MultiRegions::ExpListSharedPtr > &pVessel, const LibUtilities::SessionReaderSharedPtr &pSession, PulseWavePressureAreaSharedPtr &pressureArea)
 Creates an instance of this class. More...
 

Static Public Attributes

static std::string className
 Name of class. More...
 

Protected Member Functions

virtual void v_DoBoundary (const Array< OneD, const Array< OneD, NekDouble > > &inarray, Array< OneD, Array< OneD, NekDouble > > &A_0, Array< OneD, Array< OneD, NekDouble > > &beta, const NekDouble time, int omega, int offset, int n)
 
void R_RiemannSolver (NekDouble R, NekDouble A_l, NekDouble u_l, NekDouble A_0, NekDouble beta, NekDouble pout, NekDouble &A_u, NekDouble &u_u)
 

Additional Inherited Members

- Protected Attributes inherited from Nektar::PulseWaveBoundary
Array< OneD,
MultiRegions::ExpListSharedPtr
m_vessels
 
LibUtilities::SessionReaderSharedPtr m_session
 
PulseWavePressureAreaSharedPtr m_pressureArea
 
NekDouble m_pext
 
NekDouble m_pout
 
NekDouble m_rho
 

Detailed Description

A global linear system.

Definition at line 51 of file ROutflow.h.

Constructor & Destructor Documentation

Nektar::ROutflow::ROutflow ( Array< OneD, MultiRegions::ExpListSharedPtr pVessel,
const LibUtilities::SessionReaderSharedPtr  pSession,
PulseWavePressureAreaSharedPtr  pressureArea 
)

Definition at line 52 of file ROutflow.cpp.

55  : PulseWaveBoundary(pVessel,pSession,pressureArea)
56  {
57  }
PulseWaveBoundary(Array< OneD, MultiRegions::ExpListSharedPtr > &pVessel, const LibUtilities::SessionReaderSharedPtr &pSession, PulseWavePressureAreaSharedPtr &pressureArea)
Nektar::ROutflow::~ROutflow ( )
virtual

Definition at line 62 of file ROutflow.cpp.

63  {
64 
65  }

Member Function Documentation

static PulseWaveBoundarySharedPtr Nektar::ROutflow::create ( Array< OneD, MultiRegions::ExpListSharedPtr > &  pVessel,
const LibUtilities::SessionReaderSharedPtr pSession,
PulseWavePressureAreaSharedPtr pressureArea 
)
inlinestatic

Creates an instance of this class.

Definition at line 55 of file ROutflow.h.

References Nektar::MemoryManager< DataType >::AllocateSharedPtr().

58  {
59  return MemoryManager<ROutflow>::AllocateSharedPtr(pVessel,pSession,pressureArea);
60  }
static boost::shared_ptr< DataType > AllocateSharedPtr()
Allocate a shared pointer from the memory pool.
void Nektar::ROutflow::R_RiemannSolver ( NekDouble  R,
NekDouble  A_l,
NekDouble  u_l,
NekDouble  A_0,
NekDouble  beta,
NekDouble  pout,
NekDouble A_u,
NekDouble u_u 
)
protected

Definition at line 109 of file ROutflow.cpp.

References Nektar::PulseWaveBoundary::m_pext, and Nektar::PulseWaveBoundary::m_rho.

Referenced by v_DoBoundary().

112  {
113  NekDouble W1 = 0.0;
114  NekDouble c_l = 0.0;
115  NekDouble pext = m_pext;
116  NekDouble A_calc = 0.0;
117  NekDouble fa = 0.0;
118  NekDouble dfa = 0.0;
119  NekDouble delta_A_calc = 0.0;
120  NekDouble rho = m_rho;
121 
122  int proceed = 1;
123  int iter = 0;
124  int MAX_ITER = 200;
125 
126  // Tolerances for the algorithm
127  NekDouble Tol = 1.0e-10;
128 
129  // Calculate the wave speed
130  c_l = sqrt(beta/(2*rho))*sqrt(sqrt(A_l));
131 
132  // Riemann invariant \f$W_1(Al,ul)\f$
133  W1 = u_l + 4*c_l;
134 
135  // Newton Iteration (Area only)
136  A_calc = A_l;
137  while ((proceed) && (iter < MAX_ITER))
138  {
139  iter =iter+1;
140 
141  fa = R*W1*A_calc-4*R*sqrt(beta/(2*rho))*A_calc*sqrt(sqrt(A_calc))-pext-beta*(sqrt(A_calc)-sqrt(A_0))+pout;
142  dfa = R*W1-5*R*sqrt(beta/(2*rho))*sqrt(sqrt(A_calc))-beta/(2*sqrt(A_calc));
143  delta_A_calc = fa/dfa;
144  A_calc = A_calc - delta_A_calc;
145 
146  if (sqrt(delta_A_calc*delta_A_calc) < Tol)
147  proceed = 0;
148  }
149 
150  // Obtain u_u and A_u
151  u_u=(pext+beta*(sqrt(A_calc)-sqrt(A_0))-pout)/(R*A_calc);
152  A_u = A_calc;
153  }
double NekDouble
void Nektar::ROutflow::v_DoBoundary ( const Array< OneD, const Array< OneD, NekDouble > > &  inarray,
Array< OneD, Array< OneD, NekDouble > > &  A_0,
Array< OneD, Array< OneD, NekDouble > > &  beta,
const NekDouble  time,
int  omega,
int  offset,
int  n 
)
protectedvirtual

Implements Nektar::PulseWaveBoundary.

Definition at line 67 of file ROutflow.cpp.

References Nektar::PulseWaveBoundary::m_pout, Nektar::PulseWaveBoundary::m_vessels, and R_RiemannSolver().

73  {
74  NekDouble A_r, u_r;
75  NekDouble A_u, u_u;
76  NekDouble A_l, u_l;
77 
78  Array<OneD, MultiRegions::ExpListSharedPtr> vessel(2);
79 
80  vessel[0] = m_vessels[2*omega];
81  vessel[1] = m_vessels[2*omega+1];
82 
83  /* Find the terminal R boundary condition and
84  calculates the updated velocity and area as
85  well as the updated boundary conditions */
86 
87  NekDouble RT=((vessel[0]->GetBndCondExpansions())[n])->GetCoeffs()[0];
88  NekDouble pout = m_pout;
89  int nq = vessel[0]->GetTotPoints();
90 
91  // Get the values of all variables needed for the Riemann problem
92  A_l = inarray[0][offset+nq-1];
93  u_l = inarray[1][offset+nq-1];
94 
95  // Call the R RiemannSolver
96  R_RiemannSolver(RT,A_l,u_l,A_0[omega][nq-1],
97  beta[omega][nq-1],pout,A_u,u_u);
98 
99  // Calculates the new boundary conditions
100  A_r=A_l;
101  u_r=2*u_u-u_l;
102 
103  // Store the updated values in the boundary condition
104 
105  (vessel[0]->UpdateBndCondExpansion(n))->UpdatePhys()[0] = A_r;
106  (vessel[1]->UpdateBndCondExpansion(n))->UpdatePhys()[0] = u_r;
107  }
Array< OneD, MultiRegions::ExpListSharedPtr > m_vessels
void R_RiemannSolver(NekDouble R, NekDouble A_l, NekDouble u_l, NekDouble A_0, NekDouble beta, NekDouble pout, NekDouble &A_u, NekDouble &u_u)
Definition: ROutflow.cpp:109
double NekDouble

Member Data Documentation

std::string Nektar::ROutflow::className
static
Initial value:
"Rterminal",
"Resistive outflow boundary condition")

Name of class.

Definition at line 63 of file ROutflow.h.