Introduces the two most common numerical methods for heat transfer and
fluid dynamics equations, using clear and accessible language. This
unique approach covers all necessary mathematical preliminaries at the
beginning of the book for the reader to sail smoothly through the
chapters. Students will work step-by-step through the most common
benchmark heat transfer and fluid dynamics problems, firmly grounding
themselves in how the governing equations are discretized, how boundary
conditions are imposed, and how the resulting algebraic equations are
solved. Providing a detailed discussion of the discretization steps and
time approximations, and clearly presenting concepts of explicit and
implicit formulations, this graduate textbook has everything an
instructor needs to prepare students for their exams and future careers.
Each illustrative example shows students how to draw comparisons between
the results obtained using the two numerical methods, and at the end of
each chapter they can test and extend their understanding by working
through the problems provided. A solutions manual is also available for
instructors.