Adaptive Mesh Refinement for the Nodal Integral Method and Application to the Convection-Diffusion Equation
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):
- ISSN 0003-018X; CODEN TANSAO; ISSN 0003-018X; CODEN TANSAO; TRN: AH200132%%149
- Resource Relation:
- Conference: 2001 Annual Meeting, Milwaukee, WI (US), 06/17/2001--06/21/2001; Other Information: Transactions of the American Nuclear Society, volume 84; PBD: 17 Jun 2001
- Country of Publication:
- United States
- Language:
- English
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