The PCICE-FEM Scheme for Highly Compressible Axisymmetric Flows

Journal Article · Wed Aug 01 04:00:00 EDT 2007 · Computers & Fluids

DOI:https://doi.org/10.1016/j.compfluid.2006.10.003· OSTI ID:915512

Martineau, Richard C

The recently developed PCICE-FEM scheme (Journal of Computational Physics, vol. 198, 659, 2004) is extended to two-dimensional axisymmetric geometries. The main discretization problem for nodal-based axisymmetric formulations lies in deriving a closed form as the radial coordinates approach zero along the axis of symmetry. This problem is addressed by employing the finite element piecewise linear approximations to both the flow variables and (separately) to the nodal values of the radial coordinates. The resulting formulation is an elegant treatment of the axisymmetric coordinate system with out noticeable loss of spatial accuracy and little additional cost in computational effort. An overview of the PCICE algorithm for the axisymmetric governing equations will be followed by a detailed axisymmetric finite element formulation for the PCICE-FEM scheme. The ability of the PCICE-FEM scheme to accurately and efficiently simulate highly compressible axisymmetric flows is demonstrated.

• Research Organization: Idaho National Laboratory (INL)
• Sponsoring Organization: USDOE
• DOE Contract Number: AC07-99ID13727
• OSTI ID: 915512
• Report Number(s): INEEL/JOU-04-02307
• Journal Information: Computers & Fluids, Journal Name: Computers & Fluids Journal Issue: 7 Vol. 36
• Country of Publication: United States
• Language: English

Related Subjects

99 GENERAL AND MISCELLANEOUS
ACCURACY
ALGORITHMS
APPROXIMATIONS
COMPRESSIBLE FLOW
PHYSICS
SIMULATION
SYMMETRY