A decoupled monolithic projection method for natural convection problems

Xiaomin Pan, Kyoungyoun Kim, Changhoon Lee, Jung Il Choi

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)


We propose an efficient monolithic numerical procedure based on a projection method for solving natural convection problems. In the present monolithic method, the buoyancy, linear diffusion, and nonlinear convection terms are implicitly advanced by applying the Crank-Nicolson scheme in time. To avoid an otherwise inevitable iterative procedure in solving the monolithic discretized system, we use a linearization of the nonlinear convection terms and approximate block lower-upper (LU) decompositions along with approximate factorization. Numerical simulations demonstrate that the proposed method is more stable and computationally efficient than other semi-implicit methods, preserving temporal second-order accuracy.

Original languageEnglish
Pages (from-to)160-166
Number of pages7
JournalJournal of Computational Physics
Publication statusPublished - 2016 Jun 1

Bibliographical note

Funding Information:
This work was supported by the National Research Foundation of Korea (NRF) grants funded by the Korea government ( MSIP ) ( NRF-2014R1A2A2A01006544 , NRF-2014R1A2A1A11053140 , and NRF-20151009350 ) and in part by the Yonsei University Future–leading Research Initiative of 2014.

Publisher Copyright:
© 2016 Elsevier Inc.

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Modelling and Simulation
  • Physics and Astronomy (miscellaneous)
  • Physics and Astronomy(all)
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics


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