Fluid mechanics is a branch of classical physics that has a rich tradition in applied mathematics and numerical methods. It is at work virtually everywhere, from nature to technology. This broad and fundamental coverage of computational fluid dynamics (CFD) begins with a presentation of basic numerical methods and flows into a rigorous introduction to the subject. A heavy emphasis is placed on the exploration of fluid mechanical physics through CFD, making this book an ideal text for any new course that simultaneously covers intermediate fluid mechanics and computation. Ample examples, problems and computer exercises are provided to allow students to test their understanding of a variety of numerical methods for solving flow physics problems, including the point-vortex method, numerical methods for hydrodynamic stability analysis, spectral methods and traditional CFD topics.
This dynamic book offers a clear insight into the field of fluid mechanics, taking an approach toward analyzing fluid flows that develops each subject from the theory of its basic laws to the illustration of actual engineering applications. The "Fourth Edition" features the most up-to-date applications of essential concepts as well as new coverage of the latest topics in the field today.
A First Course in Fluid Mechanics is primarily devoted to the application of the laws of Newtonian mechanics to solve complex problems in fluid motion. The topics discussed include fluid properties and their role in fluid motion; fluid statics; fluid kinematics; Euler’s equations and Bernoulli’s energy equation; forms of irrotational flows; property of viscosity and the Navier–Stokes equations of motion; turbulence. A chapter on dimensional analysis and model similitude is included to emphasise the need for guided experimentation, presentation of results in generalised forms and interpretation of results obtained on the model to the prototype.
General relativity has become one of the central pillars of theoretical physics, with important applications in both astrophysics and high-energy particle physics, and no modern theoretical physicist's education should be regarded as complete without some study of the subject. This textbook, based on the author's own undergraduate teaching, develops general relativity and its associated mathematics from a minimum of prerequisites, leading to a physical understanding of the theory in some depth. It reinforces this understanding by making a detailed study of the theory's most important applications - neutron stars, black holes, gravitational waves, and cosmology - using the most up-to-date astronomical developments. The book is suitable for a one-year course for beginning graduate students or for undergraduates in physics who have studied special relativity, vector calculus, and electrostatics. Graduate students should be able to use the book selectively for half-year courses.