Computational Magnetohydrodynamics: Implementation in C++

by Medhat ullah

Computational Implementation in C++ is a practical and intuitive introduction to simulating magnetized fluids using modern computational techniques. Designed for engineers, physicists, and computer scientists, this book bridges the gap between theory and implementation by showing exactly how the core equations of MHD can be transformed into efficient, real-world C++ code. The book begins by building a clear conceptual understanding of magnetohydrodynamic principles, including fluid motion, magnetic field coupling, and plasma behavior. Without overwhelming the reader with unnecessary mathematical complexity, it focuses on the essential ideas that form the backbone of numerical MHD. As the chapters progress, readers are guided step-by-step through constructing solvers, handling discretization, managing stability constraints, and implementing boundary conditions. Each concept is paired with clean, modular C++ code that demonstrates how the physics translates into computation. By the end, readers not only understand how MHD works but are also equipped to write their own high-performance simulations.

Whether you are exploring plasma physics, astrophysical flows, fusion devices, or computational fluid dynamics, this book provides a solid, hands-on foundation for building robust MHD solvers from scratch. It is written with clarity, precision, and a deep respect for both the science and the engineering behind modern simulation

70 pages, Kindle Edition

Published November 16, 2025