Numerical Methods for Chemical Engineering: 2D Simulations

Chemical engineering challenges often require simulating complex, real-world behaviors that cannot be solved with pen and paper alone. Understanding how to model phase transitions, diffusion, and stochastic processes in two dimensions is crucial for modern engineering analysis. This text-based course guides you from foundational mathematical concepts to writing and understanding 2D numerical simulations, focusing on phase-field models and stochastic behaviors. You will learn to: Understand the fundamental equations governing chemical kinetics, diffusion, and phase transitions in 2D; Apply finite difference methods to solve partial differential equations numerically; Implement stochastic simulation techniques to model random molecular behaviors and probability distributions; Structure simulation code systematically for clean execution and easy debugging; Analyze simulation outputs to extract physical properties like concentration profiles and phase boundaries. The course begins with core terminology and mathematical foundations of transport phenomena and thermodynamics before progressing step-by-step through discretization, coding numerical solvers, and simulating time-dependent systems. Designed for beginner chemical engineers, materials science students, and researchers with basic mathematics knowledge who want to build simulation skills from scratch. Start reading today to master the essentials of 2D chemical engineering simulations.