Comparison of several conservative forms for finite element formulations of the incompressible Navier-Stokes or Boussinesq equations
Conference
·
OSTI ID:5647925
Why the advective form for the primitive variable formulation of the inviscid Boussinesq (or Navier-Stokes) equations is nonconservative and how several potentially useful conservative formulations can be generated is demonstrated. Several forms are considered which conserve the following quantities individually or in combinations: total energy, temperature (enthalpy), temperature squared, or none of the above (advective form). Finally the numerical performance and stability of these various formulations are compared via numerical solutions of the time-dependent, inviscid equations of motion employing the finite element method.
- Research Organization:
- California Univ., Livermore (USA). Lawrence Livermore Lab.
- DOE Contract Number:
- W-7405-ENG-48
- OSTI ID:
- 5647925
- Report Number(s):
- UCRL-82868; CONF-800613-2
- Country of Publication:
- United States
- Language:
- English
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