Nektar++
Public Member Functions | Static Public Member Functions | Static Public Attributes | Protected Member Functions | Private Attributes | List of all members
Nektar::PowerPressureArea Class Reference

#include <PowerPressureArea.h>

Inheritance diagram for Nektar::PowerPressureArea:
[legend]

Public Member Functions

 PowerPressureArea (Array< OneD, MultiRegions::ExpListSharedPtr > pVessel, const LibUtilities::SessionReaderSharedPtr pSession)
 
virtual ~PowerPressureArea ()
 
- Public Member Functions inherited from Nektar::PulseWavePressureArea
 PulseWavePressureArea (Array< OneD, MultiRegions::ExpListSharedPtr > &pVessel, const LibUtilities::SessionReaderSharedPtr &pSession)
 
virtual ~PulseWavePressureArea ()
 
void GetPressure (NekDouble &P, const NekDouble &beta, const NekDouble &A, const NekDouble &A0, const NekDouble &dAUdx, const NekDouble &gamma=0, const NekDouble &alpha=0.5)
 
void GetC (NekDouble &c, const NekDouble &beta, const NekDouble &A, const NekDouble &A0, const NekDouble &alpha=0.5)
 
void GetW1 (NekDouble &W1, const NekDouble &u, const NekDouble &beta, const NekDouble &A, const NekDouble &A0, const NekDouble &alpha=0.5)
 
void GetW2 (NekDouble &W2, const NekDouble &u, const NekDouble &beta, const NekDouble &A, const NekDouble &A0, const NekDouble &alpha=0.5)
 
void GetAFromChars (NekDouble &A, const NekDouble &W1, const NekDouble &W2, const NekDouble &beta, const NekDouble &A0, const NekDouble &alpha=0.5)
 
void GetUFromChars (NekDouble &u, const NekDouble &W1, const NekDouble &W2)
 
void GetCharIntegral (NekDouble &I, const NekDouble &beta, const NekDouble &A, const NekDouble &A0, const NekDouble &alpha=0.5)
 
void GetJacobianInverse (NekMatrix< NekDouble > &invJ, const Array< OneD, NekDouble > &Au, const Array< OneD, NekDouble > &uu, const Array< OneD, NekDouble > &beta, const Array< OneD, NekDouble > &A0, const Array< OneD, NekDouble > &alpha, const std::string &type)
 

Static Public Member Functions

static PulseWavePressureAreaSharedPtr create (Array< OneD, MultiRegions::ExpListSharedPtr > &pVessel, const LibUtilities::SessionReaderSharedPtr &pSession)
 

Static Public Attributes

static std::string className
 

Protected Member Functions

virtual void v_GetPressure (NekDouble &P, const NekDouble &beta, const NekDouble &A, const NekDouble &A0, const NekDouble &dAUdx, const NekDouble &gamma=0, const NekDouble &alpha=0.5) override
 
virtual void v_GetC (NekDouble &c, const NekDouble &beta, const NekDouble &A, const NekDouble &A0, const NekDouble &alpha=0.5) override
 
virtual void v_GetW1 (NekDouble &W1, const NekDouble &u, const NekDouble &beta, const NekDouble &A, const NekDouble &A0, const NekDouble &alpha=0.5) override
 
virtual void v_GetW2 (NekDouble &W2, const NekDouble &u, const NekDouble &beta, const NekDouble &A, const NekDouble &A0, const NekDouble &alpha=0.5) override
 
virtual void v_GetAFromChars (NekDouble &A, const NekDouble &W1, const NekDouble &W2, const NekDouble &beta, const NekDouble &A0, const NekDouble &alpha=0.5) override
 
virtual void v_GetUFromChars (NekDouble &u, const NekDouble &W1, const NekDouble &W2) override
 
virtual void v_GetCharIntegral (NekDouble &I, const NekDouble &beta, const NekDouble &A, const NekDouble &A0, const NekDouble &alpha=0.5) override
 
virtual void v_GetJacobianInverse (NekMatrix< NekDouble > &invJ, const Array< OneD, NekDouble > &Au, const Array< OneD, NekDouble > &uu, const Array< OneD, NekDouble > &beta, const Array< OneD, NekDouble > &A0, const Array< OneD, NekDouble > &alpha, const std::string &type) override
 
void GetC0 (NekDouble &c0, const NekDouble &beta, const NekDouble &A0)
 
void GetB (NekDouble &b, const NekDouble &c0)
 

Private Attributes

NekDouble P_Collapse
 

Additional Inherited Members

- Protected Attributes inherited from Nektar::PulseWavePressureArea
Array< OneD, MultiRegions::ExpListSharedPtr > m_vessels
 
LibUtilities::SessionReaderSharedPtr m_session
 
NekDouble m_PExt
 
NekDouble m_rho
 

Detailed Description

Definition at line 52 of file PowerPressureArea.h.

Constructor & Destructor Documentation

◆ PowerPressureArea()

Nektar::PowerPressureArea::PowerPressureArea ( Array< OneD, MultiRegions::ExpListSharedPtr >  pVessel,
const LibUtilities::SessionReaderSharedPtr  pSession 
)

Definition at line 47 of file PowerPressureArea.cpp.

50  : PulseWavePressureArea(pVessel, pSession)
51 {
52  m_session->LoadParameter("P_Collapse", P_Collapse,
53  -13.3322); // -10mmHg converted to kg / (cm s^2)
54 }
Nektar::PulseWavePressureArea::m_session
LibUtilities::SessionReaderSharedPtr m_session
Definition: PulseWavePressureArea.h:142
Nektar::PulseWavePressureArea::PulseWavePressureArea
PulseWavePressureArea(Array< OneD, MultiRegions::ExpListSharedPtr > &pVessel, const LibUtilities::SessionReaderSharedPtr &pSession)
Definition: PulseWavePressureArea.cpp:41

References Nektar::PulseWavePressureArea::m_session, and P_Collapse.

◆ ~PowerPressureArea()

Nektar::PowerPressureArea::~PowerPressureArea ( )
virtual

Definition at line 56 of file PowerPressureArea.cpp.

57 {
58 }

Member Function Documentation

◆ create()

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

Definition at line 56 of file PowerPressureArea.h.

59  {
60  return MemoryManager<PowerPressureArea>::AllocateSharedPtr(pVessel,
61  pSession);
62  }
Nektar::MemoryManager::AllocateSharedPtr
static std::shared_ptr< DataType > AllocateSharedPtr(const Args &...args)
Allocate a shared pointer from the memory pool.
Definition: NekMemoryManager.hpp:168

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

◆ GetB()

void Nektar::PowerPressureArea::GetB ( NekDouble &  b,
const NekDouble &  c0 
)
protected

Definition at line 328 of file PowerPressureArea.cpp.

329 {
330  b = 2 * m_rho * c0 * c0 / (m_PExt - P_Collapse);
331 }

References Nektar::PulseWavePressureArea::m_PExt, Nektar::PulseWavePressureArea::m_rho, and P_Collapse.

Referenced by v_GetAFromChars(), v_GetC(), v_GetCharIntegral(), and v_GetPressure().

◆ GetC0()

void Nektar::PowerPressureArea::GetC0 ( NekDouble &  c0,
const NekDouble &  beta,
const NekDouble &  A0 
)
protected

Definition at line 309 of file PowerPressureArea.cpp.

311 {
312  // Reference c0 from the beta law
313  c0 = sqrt(beta * sqrt(A0) / (2 * m_rho));
314 
315  /*
316  // Empirical approximation from Olufsen et al (1999)
317  NekDouble k1 = 3E3;
318  NekDouble k2 = -9;
319  NekDouble k3 = 337;
320  NekDouble PI = 3.14159265359;
321 
322  NekDouble R0 = sqrt(A0 / PI);
323 
324  c0 = sqrt(2 / (3 * m_rho) * (k1 * exp(k2 * R0) + k3));
325  */
326 }
Nektar::LibUtilities::beta
@ beta
Gauss Radau pinned at x=-1,.
Definition: PointsType.h:61
tinysimd::sqrt
scalarT< T > sqrt(scalarT< T > in)
Definition: scalar.hpp:294

References Nektar::LibUtilities::beta, Nektar::PulseWavePressureArea::m_rho, and tinysimd::sqrt().

Referenced by v_GetAFromChars(), v_GetC(), v_GetCharIntegral(), and v_GetPressure().

◆ v_GetAFromChars()

void Nektar::PowerPressureArea::v_GetAFromChars ( NekDouble &  A,
const NekDouble &  W1,
const NekDouble &  W2,
const NekDouble &  beta,
const NekDouble &  A0,
const NekDouble &  alpha = 0.5 
)
overrideprotectedvirtual

Implements Nektar::PulseWavePressureArea.

Definition at line 115 of file PowerPressureArea.cpp.

120 {
121  boost::ignore_unused(alpha);
122 
123  NekDouble c0 = 0.0;
124  GetC0(c0, beta, A0);
125 
126  NekDouble b = 0.0;
127  GetB(b, c0);
128 
129  A = A0 * pow(((b / (8 * c0)) * (W1 - W2) + 1), 4 / b);
130 }
Nektar::PowerPressureArea::GetC0
void GetC0(NekDouble &c0, const NekDouble &beta, const NekDouble &A0)
Definition: PowerPressureArea.cpp:309
Nektar::PowerPressureArea::GetB
void GetB(NekDouble &b, const NekDouble &c0)
Definition: PowerPressureArea.cpp:328
Nektar::NekDouble
double NekDouble
Definition: NektarUnivTypeDefs.hpp:43

References Nektar::LibUtilities::beta, GetB(), and GetC0().

◆ v_GetC()

void Nektar::PowerPressureArea::v_GetC ( NekDouble &  c,
const NekDouble &  beta,
const NekDouble &  A,
const NekDouble &  A0,
const NekDouble &  alpha = 0.5 
)
overrideprotectedvirtual

Implements Nektar::PulseWavePressureArea.

Definition at line 80 of file PowerPressureArea.cpp.

83 {
84  boost::ignore_unused(alpha);
85 
86  NekDouble c0 = 0.0;
87  GetC0(c0, beta, A0);
88 
89  NekDouble b = 0.0;
90  GetB(b, c0);
91 
92  c = c0 * pow((A / A0), b / 4); // Elastic
93 }

References Nektar::LibUtilities::beta, GetB(), and GetC0().

◆ v_GetCharIntegral()

void Nektar::PowerPressureArea::v_GetCharIntegral ( NekDouble &  I,
const NekDouble &  beta,
const NekDouble &  A,
const NekDouble &  A0,
const NekDouble &  alpha = 0.5 
)
overrideprotectedvirtual

Implements Nektar::PulseWavePressureArea.

Definition at line 138 of file PowerPressureArea.cpp.

142 {
143  boost::ignore_unused(alpha);
144 
145  NekDouble c = 0.0;
146  NekDouble c0 = 0.0;
147 
148  GetC0(c0, beta, A0);
149  GetC(c, beta, A, A0);
150 
151  NekDouble b = 0.0;
152  GetB(b, c0);
153 
154  I = (4 / b) * (c - c0);
155 }
Nektar::PulseWavePressureArea::GetC
void GetC(NekDouble &c, const NekDouble &beta, const NekDouble &A, const NekDouble &A0, const NekDouble &alpha=0.5)
Definition: PulseWavePressureArea.h:158

References Nektar::LibUtilities::beta, GetB(), Nektar::PulseWavePressureArea::GetC(), and GetC0().

◆ v_GetJacobianInverse()

void Nektar::PowerPressureArea::v_GetJacobianInverse ( NekMatrix< NekDouble > &  invJ,
const Array< OneD, NekDouble > &  Au,
const Array< OneD, NekDouble > &  uu,
const Array< OneD, NekDouble > &  beta,
const Array< OneD, NekDouble > &  A0,
const Array< OneD, NekDouble > &  alpha,
const std::string &  type 
)
overrideprotectedvirtual

Implements Nektar::PulseWavePressureArea.

Definition at line 157 of file PowerPressureArea.cpp.

162 {
163  // General formulation
164  if (type == "Bifurcation")
165  {
166  NekMatrix<NekDouble> J(6, 6);
167  Array<OneD, NekDouble> c(3);
168 
169  for (int i = 0; i < 3; ++i)
170  {
171  GetC(c[i], beta[i], Au[i], A0[i], alpha[i]);
172  }
173 
174  J.SetValue(0, 0, 1);
175  J.SetValue(0, 1, 0);
176  J.SetValue(0, 2, 0);
177  J.SetValue(0, 3, c[0] / Au[0]);
178  J.SetValue(0, 4, 0);
179  J.SetValue(0, 5, 0);
180 
181  J.SetValue(1, 0, 0);
182  J.SetValue(1, 1, 1);
183  J.SetValue(1, 2, 0);
184  J.SetValue(1, 3, 0);
185  J.SetValue(1, 4, -c[1] / Au[1]);
186  J.SetValue(1, 5, 0);
187 
188  J.SetValue(2, 0, 0);
189  J.SetValue(2, 1, 0);
190  J.SetValue(2, 2, 1);
191  J.SetValue(2, 3, 0);
192  J.SetValue(2, 4, 0);
193  J.SetValue(2, 5, -c[2] / Au[2]);
194 
195  J.SetValue(3, 0, Au[0]);
196  J.SetValue(3, 1, -Au[1]);
197  J.SetValue(3, 2, -Au[2]);
198  J.SetValue(3, 3, uu[0]);
199  J.SetValue(3, 4, -uu[1]);
200  J.SetValue(3, 5, -uu[2]);
201 
202  J.SetValue(4, 0, 2 * uu[0]);
203  J.SetValue(4, 1, -2 * uu[1]);
204  J.SetValue(4, 2, 0);
205  J.SetValue(4, 3, 2 * c[0] * c[0] / Au[0]);
206  J.SetValue(4, 4, -2 * c[1] * c[1] / Au[1]);
207  J.SetValue(4, 5, 0);
208 
209  J.SetValue(5, 0, 2 * uu[0]);
210  J.SetValue(5, 1, 0);
211  J.SetValue(5, 2, -2 * uu[2]);
212  J.SetValue(5, 3, 2 * c[0] * c[0] / Au[0]);
213  J.SetValue(5, 4, 0);
214  J.SetValue(5, 5, -2 * c[2] * c[2] / Au[2]);
215 
216  invJ = J;
217  invJ.Invert();
218  }
219  else if (type == "Merge")
220  {
221  NekMatrix<NekDouble> J(6, 6);
222  Array<OneD, NekDouble> c(3);
223 
224  for (int i = 0; i < 3; ++i)
225  {
226  GetC(c[i], beta[i], Au[i], A0[i], alpha[i]);
227  }
228 
229  J.SetValue(0, 0, 1);
230  J.SetValue(0, 1, 0);
231  J.SetValue(0, 2, 0);
232  J.SetValue(0, 3, -c[0] / Au[0]);
233  J.SetValue(0, 4, 0);
234  J.SetValue(0, 5, 0);
235 
236  J.SetValue(1, 0, 0);
237  J.SetValue(1, 1, 1);
238  J.SetValue(1, 2, 0);
239  J.SetValue(1, 3, 0);
240  J.SetValue(1, 4, c[1] / Au[1]);
241  J.SetValue(1, 5, 0);
242 
243  J.SetValue(2, 0, 0);
244  J.SetValue(2, 1, 0);
245  J.SetValue(2, 2, 1);
246  J.SetValue(2, 3, 0);
247  J.SetValue(2, 4, 0);
248  J.SetValue(2, 5, c[2] / Au[2]);
249 
250  J.SetValue(3, 0, Au[0]);
251  J.SetValue(3, 1, -Au[1]);
252  J.SetValue(3, 2, -Au[2]);
253  J.SetValue(3, 3, uu[0]);
254  J.SetValue(3, 4, -uu[1]);
255  J.SetValue(3, 5, -uu[2]);
256 
257  J.SetValue(4, 0, 2 * uu[0]);
258  J.SetValue(4, 1, -2 * uu[1]);
259  J.SetValue(4, 2, 0);
260  J.SetValue(4, 3, 2 * c[0] * c[0] / Au[0]);
261  J.SetValue(4, 4, -2 * c[1] * c[1] / Au[1]);
262  J.SetValue(4, 5, 0);
263 
264  J.SetValue(5, 0, 2 * uu[0]);
265  J.SetValue(5, 1, 0);
266  J.SetValue(5, 2, -2 * uu[2]);
267  J.SetValue(5, 3, 2 * c[0] * c[0] / Au[0]);
268  J.SetValue(5, 4, 0);
269  J.SetValue(5, 5, -2 * c[2] * c[2] / Au[2]);
270 
271  invJ = J;
272  invJ.Invert();
273  }
274  else if (type == "Interface")
275  {
276  NekMatrix<NekDouble> J(4, 4);
277  Array<OneD, NekDouble> c(2);
278 
279  for (int i = 0; i < 2; ++i)
280  {
281  GetC(c[i], beta[i], Au[i], A0[i], alpha[i]);
282  }
283 
284  J.SetValue(0, 0, 1);
285  J.SetValue(0, 1, 0);
286  J.SetValue(0, 2, c[0] / Au[0]);
287  J.SetValue(0, 3, 0);
288 
289  J.SetValue(1, 0, 0);
290  J.SetValue(1, 1, 1);
291  J.SetValue(1, 2, 0);
292  J.SetValue(1, 3, -c[1] / Au[1]);
293 
294  J.SetValue(2, 0, Au[0]);
295  J.SetValue(2, 1, -Au[1]);
296  J.SetValue(2, 2, uu[0]);
297  J.SetValue(2, 3, -uu[1]);
298 
299  J.SetValue(3, 0, 2 * uu[0]);
300  J.SetValue(3, 1, -2 * uu[1]);
301  J.SetValue(3, 2, 2 * c[0] * c[0] / Au[0]);
302  J.SetValue(3, 3, -2 * c[1] * c[1] / Au[1]);
303 
304  invJ = J;
305  invJ.Invert();
306  }
307 }

References Nektar::LibUtilities::beta, and Nektar::PulseWavePressureArea::GetC().

◆ v_GetPressure()

void Nektar::PowerPressureArea::v_GetPressure ( NekDouble &  P,
const NekDouble &  beta,
const NekDouble &  A,
const NekDouble &  A0,
const NekDouble &  dAUdx,
const NekDouble &  gamma = 0,
const NekDouble &  alpha = 0.5 
)
overrideprotectedvirtual

Implements Nektar::PulseWavePressureArea.

Definition at line 60 of file PowerPressureArea.cpp.

65 {
66  boost::ignore_unused(alpha);
67 
68  NekDouble c0 = 0.0;
69  GetC0(c0, beta, A0);
70 
71  NekDouble b = 0.0;
72  GetB(b, c0);
73 
74  P = m_PExt +
75  (2 * m_rho * c0 * c0 / b) *
76  (pow((A / A0), b / 2) - 1) // Power law by Smith/Canic/Mynard
77  - A0 * gamma * dAUdx / (A * sqrt(A)); // Viscoelasticity
78 }

References Nektar::LibUtilities::beta, GetB(), GetC0(), Nektar::PulseWavePressureArea::m_PExt, Nektar::PulseWavePressureArea::m_rho, Nektar::LibUtilities::P, and tinysimd::sqrt().

◆ v_GetUFromChars()

void Nektar::PowerPressureArea::v_GetUFromChars ( NekDouble &  u,
const NekDouble &  W1,
const NekDouble &  W2 
)
overrideprotectedvirtual

Implements Nektar::PulseWavePressureArea.

Definition at line 132 of file PowerPressureArea.cpp.

134 {
135  u = (W1 + W2) / 2;
136 }

◆ v_GetW1()

void Nektar::PowerPressureArea::v_GetW1 ( NekDouble &  W1,
const NekDouble &  u,
const NekDouble &  beta,
const NekDouble &  A,
const NekDouble &  A0,
const NekDouble &  alpha = 0.5 
)
overrideprotectedvirtual

Implements Nektar::PulseWavePressureArea.

Definition at line 95 of file PowerPressureArea.cpp.

98 {
99  NekDouble I = 0.0;
100  GetCharIntegral(I, beta, A, A0, alpha);
101 
102  W1 = u + I; // Elastic and assumes u0 = 0
103 }
Nektar::PulseWavePressureArea::GetCharIntegral
void GetCharIntegral(NekDouble &I, const NekDouble &beta, const NekDouble &A, const NekDouble &A0, const NekDouble &alpha=0.5)
Definition: PulseWavePressureArea.h:197

References Nektar::LibUtilities::beta, and Nektar::PulseWavePressureArea::GetCharIntegral().

◆ v_GetW2()

void Nektar::PowerPressureArea::v_GetW2 ( NekDouble &  W2,
const NekDouble &  u,
const NekDouble &  beta,
const NekDouble &  A,
const NekDouble &  A0,
const NekDouble &  alpha = 0.5 
)
overrideprotectedvirtual

Implements Nektar::PulseWavePressureArea.

Definition at line 105 of file PowerPressureArea.cpp.

108 {
109  NekDouble I = 0.0;
110  GetCharIntegral(I, beta, A, A0, alpha);
111 
112  W2 = u - I; // Elastic and assumes u0 = 0
113 }

References Nektar::LibUtilities::beta, and Nektar::PulseWavePressureArea::GetCharIntegral().

Member Data Documentation

◆ className

std::string Nektar::PowerPressureArea::className
static
Initial value:
=
GetPressureAreaFactory().RegisterCreatorFunction(
"Power", PowerPressureArea::create,
"Power law pressure area relationship for the arterial system")
Nektar::LibUtilities::NekFactory::RegisterCreatorFunction
tKey RegisterCreatorFunction(tKey idKey, CreatorFunction classCreator, std::string pDesc="")
Register a class with the factory.
Definition: NekFactory.hpp:198
Nektar::PowerPressureArea::create
static PulseWavePressureAreaSharedPtr create(Array< OneD, MultiRegions::ExpListSharedPtr > &pVessel, const LibUtilities::SessionReaderSharedPtr &pSession)
Definition: PowerPressureArea.h:56
Nektar::GetPressureAreaFactory
PressureAreaFactory & GetPressureAreaFactory()
Definition: PulseWavePressureArea.cpp:54

Definition at line 65 of file PowerPressureArea.h.

◆ P_Collapse

NekDouble Nektar::PowerPressureArea::P_Collapse
private

Definition at line 118 of file PowerPressureArea.h.

Referenced by GetB(), and PowerPressureArea().

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