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ROutflow.cpp
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2 //
3 // File CommMpi.cpp
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31 //
32 // Description: ROuflow class
33 //
34 ///////////////////////////////////////////////////////////////////////////////
35 
37 
38 using namespace std;
39 
40 namespace Nektar
41 {
42 
43  std::string ROutflow::className
45  "Rterminal",
46  ROutflow::create,
47  "Resistive outflow boundary condition");
48 
49  /**
50  *
51  */
52  ROutflow::ROutflow(Array<OneD, MultiRegions::ExpListSharedPtr> pVessel,
54  PulseWavePressureAreaSharedPtr pressureArea)
55  : PulseWaveBoundary(pVessel,pSession,pressureArea)
56  {
57  }
58 
59  /**
60  *
61  */
63  {
64 
65  }
66 
68  const Array<OneD,const Array<OneD, NekDouble> > &inarray,
71  const NekDouble time,
72  int omega,int offset,int n)
73  {
74  NekDouble A_r, u_r;
75  NekDouble A_u, u_u;
76  NekDouble A_l, u_l;
77 
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  }
108 
110  NekDouble A_0, NekDouble beta, NekDouble pout,
111  NekDouble &A_u,NekDouble &u_u)
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  }
154 
155 
156 }
STL namespace.
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
boost::shared_ptr< SessionReader > SessionReaderSharedPtr
Definition: MeshPartition.h:51
BoundaryFactory & GetBoundaryFactory()
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)
Definition: ROutflow.cpp:67
virtual ~ROutflow()
Definition: ROutflow.cpp:62
double NekDouble
boost::shared_ptr< PulseWavePressureArea > PulseWavePressureAreaSharedPtr
tKey RegisterCreatorFunction(tKey idKey, CreatorFunction classCreator, tDescription pDesc="")
Register a class with the factory.
Definition: NekFactory.hpp:215