index :: noise

noise.navier_stokes

navier-stokes diff equations

available since version: 0.5

---

information

A model obtained by a suitable five-mode truncation of the Navier-Stokes equations for a two-dimensional incompressible fluid on a torus: dx1= -2x1 + 4x2x3 + 4x4x5 dx2= -9x2 + 3x1x3 dx3= -5x3 - 7x1x2 + reyn dx4= -5x4 - x1x5 dx5= -x5 - 3x1*x4 — Where <reyn> is the Reynolds number, and exibits an interesting variety of different behaviors for different ranges of <reyn>. For the critical values of <reyn>, the most interesting feature is the stochastic behavior observed when R1 < <reyn> < R2. With 28.73 < R1 > 29.0 and R2 ± = 33.43.

arguments:

• A a value (optional)
  type: float
  

• B b value (optional)
  type: float
  

• C c value (optional)
  type: float
  

• D d value (optional)
  type: float
  

• R r value (optional)
  type: float
  

• DT dt value (optional)
  type: float
  

methods:

• a
  parameters:
  • A a value
    type: float
    required: True
    
• b
  parameters:
  • B b value
    type: float
    required: True
    
• c
  parameters:
  • C c value
    type: float
    required: True
    
• d
  parameters:
  • D d value
    type: float
    required: True
    
• dt
  parameters:
  • DT dt value
    type: float
    required: True
    
• om
  parameters:
  • OM enables output when cut or fold value is changed
    type: int
    required: True
    
• om
  parameters:
  • OM enables output when cut or fold value is changed
    type: int
    required: True
    
• r
  parameters:
  • R r value
    type: float
    required: True
    

• reset reset state
  

• set
  parameters:
  • SET set to value
    type: float
    required: True
    

inlets:

• output value
  type: control

outlets:

• a outlet
  type: control
• b outlet
  type: control
• c outlet
  type: control
• d outlet
  type: control
• e outlet
  type: control

keywords:

noise

Authors: Richard Dudas, André Sier

License: %