On stable algorithms and accurate solutions for convection-dominated mass transfer in crystal growth modeling

Bhushan Vartak, Jeffrey J. Derby

Research output: Contribution to journalConference articlepeer-review

8 Scopus citations


We present mesh resolution studies for large-scale, convection-dominated mass transfer computations in modeling the growth of single crystals of potassium titanyl phosphate (KTP) from solution. These computations are performed using the stabilized, Galerkin/least-squares (GLS) finite element formulation. Results are compared from three different finite element meshes that have varying levels of refinement. Use of the stabilized finite element formulation with a coarse mesh for this system yields converged but inaccurate results, showing the importance of careful error assessment when stabilized methods are used for such problems.

Original languageEnglish (US)
Pages (from-to)202-209
Number of pages8
JournalJournal of Crystal Growth
Issue number1-2
StatePublished - Aug 2001

Bibliographical note

Funding Information:
This work was supported in part by the National Science Foundation Grant CTS-9713044 and the University of Minnesota AHPCRC under the auspices of the Department of the Army, Army Research Laboratory cooperative agreement DAAH04-95-2-0003/contract DAAH04-95-C-0008, the content of which does not necessarily reflect the position or policy of the government, and no official endorsement should be inferred. Additional computational resources were provided by the University of Minnesota Supercomputing Institute. BV is thankful to the University of Minnesota Graduate School for a Doctoral Dissertation Fellowship and gratefully acknowledges significant input from A. Yeckel and Y.-I. Kwon.


  • A1. Computer simulation
  • A1. Convection
  • A1. Diffusion
  • A1. Fluid flows
  • A1. Mass transfer
  • A2. Growth from solutions


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