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Gradient Smoothing Methods With Programming: Applications To Fluids And Landslides

Gradient Smoothing Methods With Programming: Applications To Fluids And Landslides

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  • More about Gradient Smoothing Methods With Programming: Applications To Fluids And Landslides


The Gradient Smoothing Methods (GSMs) are a general solver for linear and nonlinear PDEs, particularly for fluids and flowing solids, with applications in compressible and incompressible flows, hydrodynamics, and geotechnical engineering. In-house MATLAB and FORTRAN codes are provided for solving complex engineering problems.

Format: Hardback
Length: 288 pages
Publication date: 14 January 2024
Publisher: World Scientific Publishing Co Pte Ltd


This comprehensive compendium delves into the realm of Gradient Smoothing Methods (GSMs), presenting them as a versatile solver for linear and nonlinear Partial Differential Equations (PDEs), particularly emphasizing their application in the realm of fluids and flowing solids. The volume begins by introducing the fundamental concepts and theories underlying the gradient smoothing technique employed in GSMs. It then presents formulations for both Eulerian-GSM and Lagrangian-GSM, providing a comprehensive framework for solving fluid/solid flow problems with complex geometries.

The subsequent chapters delve into the core ingredients of GSMs and their remarkable effectiveness in tackling challenging fluid/solid flow scenarios characterized by intricate geometries. The applications of GSM are showcased, encompassing a wide range of scenarios such as compressible and incompressible flows, hydrodynamics with flexible free surfaces, and flowing solids with material strength and significant deformation in geotechnical engineering, particularly in landslide simulations. In-house MATLAB codes are provided for both Eulerian and Lagrangian GSMs, accompanied by detailed descriptions to facilitate their implementation. Additionally, more efficient FORTRAN source codes for solving complex engineering problems are available on GitHub, expanding the utility of GSMs in diverse fields.

By presenting a comprehensive overview of GSMs, this compendium serves as a valuable resource for researchers, engineers, and practitioners seeking to advance their understanding and expertise in the field of fluid/solid dynamics. It provides a solid foundation for those interested in exploring the potential of gradient smoothing techniques in solving complex engineering problems, enabling them to make informed decisions and contribute to the advancement of scientific research and technological applications.


ISBN-13: 9789811280009

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