Gradient Smoothing Methods with Programming: Applications to Fluids and Landslides
Published:
GSMs book is published here
Content table
Chapter 1: Introduction
Chapter 2: Theory for Gradient Smoothing Method
Chapter 3: Eulerian GSM for solving Poisson equation
Chapter 4: Eulerian GSM for compressible flows
Chapter 5: Eulerian GSM for incompressible flows
Chapter 6: Theory and formulation for Lagrangian GSM
Chapter 7: L-GSM for incompressible hydrodynamics
Chapter 8: L-GSM for granular flows in geotechnical engineering
Chapter 9: Programming with GSMs and source codes
Overview
This unique compendium presents the Gradient Smoothing Methods (GSMs), as a general solver for linear and nonlinear PDEs (Partial Differential Equations) with a focus on fluids and flowing solids.
The volume introduces the basic concepts and theories of the gradient smoothing technique used in the GSMs. Formulations for both Eulerian-GSM and Lagrangian-GSM are presented. The key ingredients of GSMs and its effectiveness in solving challenging fluid/solid flow problems with complex geometries are then discussed.
Applications of GSM are highlighted, including compressible and incompressible flows, hydrodynamics with flexible free surface, and flowing solids with material strength and large deformation in geotechnical engineering, in particular, landslide simulations.
In-house MATLAB codes are provided for both Eulerian and Lagrangian GSMs, along with detailed descriptions. More efficient FORTRAN source codes for solving complex engineering problems are also available on Github.
Part of source code is released here.
Book details
ISBN-13: 9789811280009
Publisher: World Scientific Publishing Company, Incorporated
Publication date: 01/27/2024
Series: Frontier Research In Computation And Mechanics Of Materials And Biology , #5
Pages: 288
Product dimensions: 6.50(w) x 1.50(h) x 9.50(d)