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Systems of conservation laws : two-dimensional Riemann problems
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ISBN: 0817640800 9780817640804 Year: 2001 Publisher: Boston: Birkhäuser,

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Elements of continuum mechanics and conservation laws
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ISBN: 0306477351 Year: 2003 Publisher: New York : Kluwer Academic/Plenum Publishers,

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Kinetic formulation of conservation laws
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ISBN: 0198509138 Year: 2002 Publisher: New York (N.Y.) : Oxford university press,

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Space-time conservation element and solution element method : advances and applications in engineering sciences
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Year: 2023 Publisher: Singapore : Springer Nature,

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This open access book introduces the fundamentals of the space-time conservation element and solution element (CESE) method, which is a novel numerical approach for solving equations of physical conservation laws. It highlights the recent progress to establish various improved CESE schemes and its engineering applications. With attractive accuracy, efficiency, and robustness, the CESE method is particularly suitable for solving time-dependent nonlinear hyperbolic systems involving dynamical evolutions of waves and discontinuities. Therefore, it has been applied to a wide spectrum of problems, e.g., aerodynamics, aeroacoustics, magnetohydrodynamics, multi-material flows, and detonations. This book contains algorithm analysis, numerical examples, as well as demonstration codes. This book is intended for graduate students and researchers who are interested in the fields such as computational fluid dynamics (CFD), mechanical engineering, and numerical computation.


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Space-time conservation element and solution element method : advances and applications in engineering sciences
Authors: --- ---
Year: 2023 Publisher: Singapore : Springer Nature,

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This open access book introduces the fundamentals of the space-time conservation element and solution element (CESE) method, which is a novel numerical approach for solving equations of physical conservation laws. It highlights the recent progress to establish various improved CESE schemes and its engineering applications. With attractive accuracy, efficiency, and robustness, the CESE method is particularly suitable for solving time-dependent nonlinear hyperbolic systems involving dynamical evolutions of waves and discontinuities. Therefore, it has been applied to a wide spectrum of problems, e.g., aerodynamics, aeroacoustics, magnetohydrodynamics, multi-material flows, and detonations. This book contains algorithm analysis, numerical examples, as well as demonstration codes. This book is intended for graduate students and researchers who are interested in the fields such as computational fluid dynamics (CFD), mechanical engineering, and numerical computation.


Book
Space-time conservation element and solution element method : advances and applications in engineering sciences
Authors: --- ---
Year: 2023 Publisher: Singapore : Springer Nature,

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Abstract

This open access book introduces the fundamentals of the space-time conservation element and solution element (CESE) method, which is a novel numerical approach for solving equations of physical conservation laws. It highlights the recent progress to establish various improved CESE schemes and its engineering applications. With attractive accuracy, efficiency, and robustness, the CESE method is particularly suitable for solving time-dependent nonlinear hyperbolic systems involving dynamical evolutions of waves and discontinuities. Therefore, it has been applied to a wide spectrum of problems, e.g., aerodynamics, aeroacoustics, magnetohydrodynamics, multi-material flows, and detonations. This book contains algorithm analysis, numerical examples, as well as demonstration codes. This book is intended for graduate students and researchers who are interested in the fields such as computational fluid dynamics (CFD), mechanical engineering, and numerical computation.


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Novel porous media formulation for multiphase flow conservation equations
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ISBN: 1139125257 1107229367 1283296454 1139123858 9786613296450 1139128760 1139118102 1139113747 1139003402 1139115936 Year: 2011 Publisher: New York : Cambridge University Press,

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William T. Sha first proposed the novel porous media formulation in an article in Nuclear Engineering and Design in 1980. The novel porous media formulation represented a new, flexible and unified approach to solve real-world engineering problems. It uses the concept of volume porosity, directional surface porosities, distributed resistance and distributed heat source and sink. Most practical engineering problems involve many complex shapes and sizes of solid internal structures whose distributed resistance is impossible to quantify accurately. The concept of directional surface porosities eliminates the sole reliance on empirical estimation of the distributed resistance of complex-shaped structures often involved in the analysis. The directional surface porosities thus greatly improve the resolution and modeling accuracy and facilitate mock-ups of numerical simulation models of real engineering systems. Both the continuum and conventional porous media formulations are subsets of the novel porous media formulation.


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Conservation laws in variational thermo-hydrodynamics
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ISBN: 0792328027 9401044732 9401110840 Year: 1994 Publisher: Dordrecht : Kluwer,

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Numerical methods for conservation laws
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ISBN: 3764324643 9783764324643 0817624643 Year: 1990 Publisher: Basel : Birkhäuser,

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Models for vehicular traffic on networks
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ISBN: 9781601330192 1601330197 Year: 2016 Volume: 9 Publisher: [Springfield, Missouri] American Institute of Mathematical Sciences

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