Adaptive Mesh Refinement for the Nodal Integral Method and Application to the Convection-Diffusion Equation

Conference · Sun Jun 17 04:00:00 EDT 2001

OSTI ID:786281

Torej, Allen J; Rizwan-Uddin,

The nodal integral method (NIM) has been developed for several problems, including the Navier-Stokes equations, the convection-diffusion equation, and the multigroup neutron diffusion equations. The coarse-mesh efficiency of the NIM is not fully realized in problems characterized by a wide range of spatial scales; however, the combination of adaptive mesh refinement (AMR) capability with the NIM can recover the coarse-mesh efficiency by allowing high degrees of resolution in specific localized areas where it is needed and using a lower resolution everywhere else. Furthermore, certain features of the NIM can be fruitfully exploited in the application of the AMR process. Here, a general approach to couple nodal schemes with AMR is outlined and then applied to the convection-diffusion (energy) equation. For the recirculating flow problem studied, the total number of nodes required by the NIM-AMR to yield approximately the same level of accuracy is a factor of 6 smaller than the total number of nodes required by the NIM without AMR. These results show that, for problems characterized by a range of spatial scales, the nodal efficiency can be recovered by coupling the nodal method with adaptive mesh refinement capability.

• Research Organization: University of Illinois at Urbana-Champaign, Urbana, Illinois (US)
• Sponsoring Organization: None (US)
• OSTI ID: 786281
• Report Number(s): NONE; ISSN 0003-018X; CODEN TANSAO; ISSN 0003-018X; CODEN TANSAO
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
99 GENERAL AND MISCELLANEOUS
ACCURACY
CALCULATION METHODS
CONVECTION
EFFICIENCY
FLUID MECHANICS
MESH GENERATION
NAVIER-STOKES EQUATIONS
NEUTRON DIFFUSION EQUATION
RESOLUTION