TY - GEN
T1 - An Eulerian -Lagrangian Front Tracking Method for Immersed Boundaries
AU - Udaykumar, H. S.
AU - Mittal, R.
AU - Shyy, Wei
N1 - Publisher Copyright:
© 1998 American Society of Mechanical Engineers (ASME). All rights reserved.
PY - 1998
Y1 - 1998
N2 - In tracking moving boundaries that arise in several flow problems, a mixed Eulerian-Lagrangian algorithm can prove quite useful. In such a method, the grid on which the flow computations are performed remains stationary, while the interface is immersed in and moves through the grid. In this report we present a finite-difference based formulation for a scalar transport equation, which will be designed to alleviate some of the concerns associated with interface tracking on a fixed underlying grid. By performing truncation error analysis, the presentation of the method also sheds light on the expected accuracy of the solutions. The finite-difference operations are performed to maintain nominal global secondorder accuracy. To demonstrate the second-order accuracy of the solutions, we present grid refinement studies preformed for some test problems.
AB - In tracking moving boundaries that arise in several flow problems, a mixed Eulerian-Lagrangian algorithm can prove quite useful. In such a method, the grid on which the flow computations are performed remains stationary, while the interface is immersed in and moves through the grid. In this report we present a finite-difference based formulation for a scalar transport equation, which will be designed to alleviate some of the concerns associated with interface tracking on a fixed underlying grid. By performing truncation error analysis, the presentation of the method also sheds light on the expected accuracy of the solutions. The finite-difference operations are performed to maintain nominal global secondorder accuracy. To demonstrate the second-order accuracy of the solutions, we present grid refinement studies preformed for some test problems.
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U2 - 10.1115/IMECE1998-0720
DO - 10.1115/IMECE1998-0720
M3 - Conference contribution
AN - SCOPUS:85124617171
T3 - ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE)
SP - 33
EP - 45
BT - Heat Transfer
PB - American Society of Mechanical Engineers (ASME)
T2 - ASME 1998 International Mechanical Engineering Congress and Exposition, IMECE 1998
Y2 - 15 November 1998 through 20 November 1998
ER -