Backward time scheme

Properties

  • Implicit
  • Second order
  • Transient
  • Boundedness not guaranteed
  • Conditionally stable

    \[ \ddt{\phi} = \frac{1}{\Delta t} \left( \frac{3}{2}\phi - 2 \old{\phi} + \frac{1}{2}\oldold{\phi}\right) \]

Usage

The scheme is specified using:

ddtSchemes
{
    default         backward;
    ddt(phi)        backward;
}

Further information

Source code:


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