A Residual estimator based adaptation strategy for compressible flows

Ganesh, N.; Shende, Nikhil; Balakrishnan, N.

doi:10.1007/978-3-540-92779-2_59

Cited by 6 publications

(6 citation statements)

References 5 publications

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“…差识别 [27] 、后验误差估计 [28] 、基于残差判据 [29] 、基于多尺度判据 [30] 等。选择梯度准则 [31,32] 作为网格自适应准则，并根据梯度准则设置了梯度阈值，梯度阈值通过梯度值分布趋势确定，当网格梯度值达到或超过梯度阈值后，将提高网格分辨率。利用 ArcGIS 的 TIN 三角网格创建工具 [33,34] 对需要调整的网格区域进行加密重构。网格自适应调整后，首先针对单一一般限制指标划分等级，再综合各指标结果生成均质区域，最后叠加强限制指标，形成最终均质区域。一般限制指标均质区域通过聚类形成，选择改进的等间距法 [35,36]…”

Section: 基于自适应三角网的海洋资源资产清查unclassified

Research for method of homogeneous area partition for marine resource assets inventory based on adaptable triangular grid

ZHANG,

ZOU,

LUO

et al. 2023

JOURNAL OF NATURAL RESOURCES

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The partition of homogeneous area is an important part of marine resource assets inventory accounting. Marine functional regionalization was formerly used to divide homogeneous area as base map, but the results were not exactly precise, in which the current utilization status, ecological conditions, marine planning and others were not considered. A method based on adaptable triangular grid was proposed in our study to derive more precise marine homogeneous areas. A comparative analysis was made between calculation results and the marine functional regionalization, offshore wind power planning and sea aquaculture planning. Obviously, the new method was more practical and reasonable. It is expected that our study can provide new ideas and references for marine resource asset management.

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Section: 基于自适应三角网的海洋资源资产清查unclassified

Research for method of homogeneous area partition for marine resource assets inventory based on adaptable triangular grid

ZHANG,

ZOU,

LUO

et al. 2023

JOURNAL OF NATURAL RESOURCES

View full text Add to dashboard Cite

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“…The compressible Navier-Stokes equation in the conservative form can be expressed as The refinement criterion can be flow feature-based, and this kind of error indicator tries to identify the location of high gradient. The residual-based strategy, such as the R-parameter [18,19] proposed by Ganesh et al, can be used to devise a suitable criterion. Also, the sensitivity approach can be used to control the adaption process [20].…”

Section: Governing Equationsmentioning

confidence: 99%

Accurate and robust adaptive mesh refinement for aerodynamic simulation with multi‐block structured curvilinear mesh

Chen

2015

Numerical Methods in Fluids

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SUMMARYA multi-block curvilinear mesh-based adaptive mesh refinement (AMR) method is developed to satisfy the competing objectives of improving accuracy and reducing cost. Body-fitted curvilinear mesh-based AMR is used to capture flow details of various length scales. A series of efforts are made to guarantee the accuracy and robustness of the AMR system. A physics-based refinement function is proposed, which is proved to be able to detect both shock wave and vortical flow. The curvilinear mesh is refined with cubic interpolation, which guarantees the aspect ratio and smoothness. Furthermore, to enable its application in complex configurations, a sub-block-based refinement strategy is developed to avoid generating invalid mesh, which is the consequence of non-smooth mesh lines or singular geometry features. A newfound problem of smaller wall distance, which negatively affects the stability and is never reported in the literature, is also discussed in detail, and an improved strategy is proposed. Together with the high-accuracy numerical scheme, a multiblock curvilinear mesh-based AMR system is developed. With a series of test cases, the current method is verified to be accurate and robust and be able to automatically capture the flow details at great cost saving compared with the global refinement.

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“…This approach, which is simple and effective in some Computational Fluid Dynamics (CFD) applications, requires trial and error to determine the appropriate flow features and thus fails to provide a general and robust error estimate . Alternatively, the adaptation procedure can be conducted using residual‐based approaches in which the truncation error of the fluid flow quantities constructs the adaptation criteria . Moreover, output‐based adaptation criteria based on solutions to the so‐called adjoint (dual) problem, which is derived for an output of interest, have become very mature in recent years .…”

Section: Introductionmentioning

confidence: 99%

“…17,18 Alternatively, the adaptation procedure can be conducted using residual-based approaches in which the truncation error of the fluid flow quantities constructs the adaptation criteria. [19][20][21] Moreover, output-based adaptation criteria based on solutions to the so-called adjoint (dual) problem, which is derived for an output of interest, have become very mature in recent years. 22 In this type of error estimates, the solution of the adjoint problem is multiplied by the local contribution of the truncation error estimate to provide information about the interaction of the error in different components of the solution 23 and subsequently those locations that require more resolution (typically h-refinement) for a more accurate estimate of the output quantity.…”

Section: Introductionmentioning

confidence: 99%

An hp‐adaptive unstructured finite volume solver for compressible flows

Jalali

Ollivier‐Gooch

2017

Numerical Methods in Fluids

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Summary The idea of hp‐adaptation, which has originally been developed for compact schemes (such as finite element methods), suggests an adaptation scheme using a mixture of mesh refinement and order enrichment based on the smoothness of the solution to obtain an accurate solution efficiently. In this paper, we develop an hp‐adaptation framework for unstructured finite volume methods using residual‐based and adjoint‐based error indicators. For the residual‐based error indicator, we use a higher‐order discrete operator to estimate the truncation error, whereas this estimate is weighted by the solution of the discrete adjoint problem for an output of interest to form the adaptation indicator for adjoint‐based adaptations. We perform our adaptation by local subdivision of cells with nonconforming interfaces allowed and local reconstruction of higher‐order polynomials for solution approximations. We present our results for two‐dimensional compressible flow problems including subsonic inviscid, transonic inviscid, and subsonic laminar flow around the NACA 0012 airfoil and also turbulent flow over a flat plate. Our numerical results suggest the efficiency and accuracy advantages of adjoint‐based hp‐adaptations over uniform refinement and also over residual‐based adaptation for flows with and without singularities.

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A Residual estimator based adaptation strategy for compressible flows

Cited by 6 publications

References 5 publications

Research for method of homogeneous area partition for marine resource assets inventory based on adaptable triangular grid

Research for method of homogeneous area partition for marine resource assets inventory based on adaptable triangular grid

Accurate and robust adaptive mesh refinement for aerodynamic simulation with multi‐block structured curvilinear mesh

An hp‐adaptive unstructured finite volume solver for compressible flows

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