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Volume 4, Issue 3
Simulation of Viscous Flows Around a Moving Airfoil by Field Velocity Method with Viscous Flux Correction

Ning Gu, Zhiliang Lu & Tongqing Guo

Adv. Appl. Math. Mech., 4 (2012), pp. 294-310.

Published online: 2012-04

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  • Abstract

Based on the field velocity method, a novel approach for simulating unsteady pitching and plunging motion of an airfoil is presented in this paper. Responses to pitching and plunging motions of the airfoil are simulated under different conditions. The obtained results are compared with those of moving grid method and good agreement is achieved. In the conventional field velocity method, the Euler solver is usually used to simulate the movement of the airfoil. However, when viscous effect is considered, unsteady Navier-Stokes equations have to be solved and the viscous flux correction must be taken into account. In this work, the viscous flux correction is introduced into the conventional field velocity method when non-uniform grid speed distribution is occurred. Numerical experiments for the flow around NACA0012 airfoil showed that the proposed approach can well simulate viscous moving boundary flow problems.

  • AMS Subject Headings

65Z05, 65M04

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COPYRIGHT: © Global Science Press

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@Article{AAMM-4-294, author = {Gu , NingLu , Zhiliang and Guo , Tongqing}, title = {Simulation of Viscous Flows Around a Moving Airfoil by Field Velocity Method with Viscous Flux Correction}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2012}, volume = {4}, number = {3}, pages = {294--310}, abstract = {

Based on the field velocity method, a novel approach for simulating unsteady pitching and plunging motion of an airfoil is presented in this paper. Responses to pitching and plunging motions of the airfoil are simulated under different conditions. The obtained results are compared with those of moving grid method and good agreement is achieved. In the conventional field velocity method, the Euler solver is usually used to simulate the movement of the airfoil. However, when viscous effect is considered, unsteady Navier-Stokes equations have to be solved and the viscous flux correction must be taken into account. In this work, the viscous flux correction is introduced into the conventional field velocity method when non-uniform grid speed distribution is occurred. Numerical experiments for the flow around NACA0012 airfoil showed that the proposed approach can well simulate viscous moving boundary flow problems.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.10-m1167}, url = {http://global-sci.org/intro/article_detail/aamm/120.html} }
TY - JOUR T1 - Simulation of Viscous Flows Around a Moving Airfoil by Field Velocity Method with Viscous Flux Correction AU - Gu , Ning AU - Lu , Zhiliang AU - Guo , Tongqing JO - Advances in Applied Mathematics and Mechanics VL - 3 SP - 294 EP - 310 PY - 2012 DA - 2012/04 SN - 4 DO - http://doi.org/10.4208/aamm.10-m1167 UR - https://global-sci.org/intro/article_detail/aamm/120.html KW - Gust response, unsteady Navier-Stokes equations, field velocity method, viscous flux correction. AB -

Based on the field velocity method, a novel approach for simulating unsteady pitching and plunging motion of an airfoil is presented in this paper. Responses to pitching and plunging motions of the airfoil are simulated under different conditions. The obtained results are compared with those of moving grid method and good agreement is achieved. In the conventional field velocity method, the Euler solver is usually used to simulate the movement of the airfoil. However, when viscous effect is considered, unsteady Navier-Stokes equations have to be solved and the viscous flux correction must be taken into account. In this work, the viscous flux correction is introduced into the conventional field velocity method when non-uniform grid speed distribution is occurred. Numerical experiments for the flow around NACA0012 airfoil showed that the proposed approach can well simulate viscous moving boundary flow problems.

Gu , NingLu , Zhiliang and Guo , Tongqing. (2012). Simulation of Viscous Flows Around a Moving Airfoil by Field Velocity Method with Viscous Flux Correction. Advances in Applied Mathematics and Mechanics. 4 (3). 294-310. doi:10.4208/aamm.10-m1167
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