2017
DOI: 10.1007/s11831-017-9213-8
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A Higher-Order Chimera Method for Finite Volume Schemes

Abstract: In this work a higher-order accurate finite volume method for the resolution of the Euler/Navier-Stokes equations using Chimera grid techniques is presented. The formulation is based on the use of Moving Least Squares (MLS) approximations in order to obtain higher-order accurate reconstruction and connectivity between the overlapped grids. The accuracy and performance of the proposed methodology is demonstrated by solving different benchmark problems.

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Cited by 18 publications
(8 citation statements)
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“…Recently, two other GR approaches are used more frequently due to their reduced computational cost compared to body-fitted models: Chimera or overset methods [39,40] and Immersed Boundary (IB) methods [11,12,26]. Both methods use an additional mesh decoupled from the main fluid mesh in order to represent the geometry of the moving turbine, and which is an Eulerian grid in the Chimera approaches and a Lagrangian grid in the IB methods.…”
Section: Introductionmentioning
confidence: 99%
“…Recently, two other GR approaches are used more frequently due to their reduced computational cost compared to body-fitted models: Chimera or overset methods [39,40] and Immersed Boundary (IB) methods [11,12,26]. Both methods use an additional mesh decoupled from the main fluid mesh in order to represent the geometry of the moving turbine, and which is an Eulerian grid in the Chimera approaches and a Lagrangian grid in the IB methods.…”
Section: Introductionmentioning
confidence: 99%
“…Subsequently, the FSI with water hammer in the pipeline is calculated. It achieves dispersion of the equations with the control volume integral and integrates the continuous equation from t to t + ∆t [32,33]. From Equations (1)-(8), the continuity and momentum equations of the water region and structure region can be written in the matrix form.…”
Section: Finite Volume Methodsmentioning
confidence: 99%
“…The Crank-Nicolson implicit form of time-centered difference provides a second-order accuracy to predict the partial differential terms. And unconditional stability is guaranteed with respect to the solution process (Ramírez, et al, 2018).…”
Section: Finite Volume Discretizationmentioning
confidence: 99%