Category Simulation & Modeling Projects

Reading Time: 6 minutesComputational materials science has transformed how scientists discover, design, and optimize materials for modern technologies. Instead of relying solely on expensive and time-consuming laboratory experiments, researchers now use powerful simulations, mathematical models, and data-driven techniques to predict how materials behave under real-world conditions. These virtual approaches accelerate innovation, reduce development costs, and allow engineers to […]

Reading Time: 14 minutesEditor’s note: This technical overview has been reconstructed from archived materials and modern boundary element method literature to preserve the historical and methodological context of the Julian solver. The Julian Boundary Element Code is an open-source computational tool developed for solving engineering and physical problems using the Boundary Element Method (BEM). Originally created by Adam […]

Reading Time: 4 minutesModern materials science increasingly relies on predictive modeling to understand how microstructures form, evolve, and ultimately determine macroscopic properties. From dendritic solidification in alloys to crack propagation in structural materials, many physical phenomena are governed by moving interfaces between phases. Accurately describing these interfaces is one of the central challenges in computational materials science. Phase-field […]

Reading Time: 3 minutesMathematical equations are powerful tools for describing the world. They encode relationships between variables, express conservation laws, and formalize physical, biological, financial, or engineering processes. However, equations alone are not sufficient for real-world prediction or decision-making. To transform mathematical models into actionable insights, we need simulations. The journey from equations to simulations is not a […]

Reading Time: 5 minutesMathematical models are one of the most powerful tools humans have for understanding the physical world. From predicting the motion of planets to designing bridges, simulating climate, or controlling electronic devices, models translate real-world phenomena into equations that can be analyzed, tested, and used for prediction. While the mathematics behind these models can become complex, […]

Reading Time: 7 minutesMaterials modeling is the practice of using mathematics and computation to predict how a material behaves—how it deforms, conducts heat, transports atoms, forms microstructures, or reacts under different conditions. If you’re new to the field, the hardest part is not the equations. It’s learning how to think across scales and how to pick a model […]

Reading Time: 7 minutesScientific simulation is one of the most practical tools modern research has. It lets scientists and engineers explore complex systems on a computer when real-world experiments are too expensive, too slow, too dangerous, or simply impossible. From modeling how heat spreads through a material to forecasting weather patterns, simulation helps turn “we think” into “we […]

Reading Time: 7 minutesThe Finite Volume Method (FVM) is one of the most practical ways to solve partial differential equations (PDEs) in physics and engineering, especially when conservation matters. It’s widely used for fluid flow, heat transfer, diffusion, electrochemistry, and many coupled “multi-physics” problems. The best part is that the core idea is not complicated: instead of chasing […]

Reading Time: 3 minutesMesoscale Microstructure Simulation Project (MMSP) is a computational framework designed to provide a simple, consistent, and extensible programming interface for grid- and mesh-based methods used to simulate microstructure evolution at the mesoscale. The project addresses a common challenge in computational materials science: enabling researchers to apply a wide range of numerical methods—such as Monte Carlo, […]

Reading Time: 3 minutesTheraPy is a collection of Python scripts developed to model the evolution of chemical and physical inhomogeneities—commonly referred to as microstructure—in drug–polymer composite systems used for controlled drug release coatings. These coatings are widely applied in medical devices where drug delivery must be carefully regulated over time. TheraPy focuses on capturing how microstructure forms during […]