.. _references:

References on FDM and FVM approaches
======================================================

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Finite volume methods (FVM)
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* :download:`Piecewise Parabolic Method (PPM) <./ColellaWoodward_PPM_1984.pdf/>`
* :download:`Second-order accurate Multidimensional CTU method <./Colella_MultiUpwind_1990.pdf/>`
* :download:`How to design a fourth-order scheme in FVM <./McCorquodaleColella_highOrderFVM-refinedGrid_2011.pdf/>`
* :download:`How to design high-order WENO in FVM <./BuchmullerHelzel_ImprovedWENO-FVM_2014.pdf/>`
* :download:`The FLASH code <./TheFLASHpaper.pdf/>`
* :download:`Improving WENO in Multidimensional FVM <./ZhangZhangShu_TwoCasesWeno_2011.pdf/>`

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Finite difference methods (FDM)
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* :download:`Fifth-order accurate WENO FDM <./JiangShu_WENO_1996.pdf/>`
* :download:`Alternative FDM <./JiangShuZhang_AlternativeFDM_2013.pdf/>`
* :download:`High-order FDM <./MignoneTzeferacos_FDM_2010.pdf/>` 
* :download:`Fifth-order FDM-Prim <./ChenTothGombosi_5thFDM_2016.pdf/>`

  
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WENO methods in FDM, FVM, and DG
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* :download:`Reviews on WENO 1 <./Shu_wenoConvection_2009.pdf/>` 
* :download:`Reviews on WENO 2 <./Shu_WENO-DG-survey_2016.pdf/>` 


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Other Tutorial(s)
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* `CFD Talk by Prof. Philip Roe <https://www.youtube.com/watch?v=uaH91P665PI>`_



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Other supplementary reading materials
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* Finite volume methods for hyperbolic problems -- R. J. LeVeque (Cambridge)
* Riemann solvers and numerical methods for fluid dynamics -- E. F. Toro (Springer)
* Computational fluid dynamics -- J. D. Anderson (McGraw-Hill)
* Computational gasdynamics -- C. B. Laney (Cambridge)
* Fundamentals of computational fluid dynamics -- H. Lomax, T. H. Pulliman, D. W. Zingg (Springer)
* Journal papers on computational fluid dynamics methods