Category Simulation & Modeling Projects

Reading Time: 7 minutesGeophysical phenomena—from groundwater flow to mantle convection—are governed by partial differential equations (PDEs). Finite volume methods (FVM) solve these PDEs by enforcing conservation laws over control volumes, making them ideal for complex, nonlinear earth systems. Python tools like FiPy provide flexible PDE solving capabilities, while domain-specific packages like MODFLOW/FloPy offer standardized workflows for groundwater modeling. […]

Reading Time: 8 minutesMachine learning (ML) surrogates are fast, data-driven approximations of expensive scientific simulations. They enable near real-time predictions, massive design space exploration, and uncertainty quantification that would be impossible with direct simulation alone. Use surrogates when you need iterative optimization or thousands of evaluations; stick with direct simulation for final validation or when high accuracy is […]

Reading Time: 9 minutesValidation and verification (V&V) are essential quality assurance processes for PDE simulations. Verification ensures your code solves the equations correctly (solving the equations right). Validation confirms your model accurately represents real-world physics (solving the right equations). A robust V&V framework combines code verification via methods like the Method of Manufactured Solutions, solution verification with mesh […]

Reading Time: 7 minutesTL;DR ParaView is the go-to open-source tool for visualizing materials science simulation data. Whether you’re working with phase-field models, molecular dynamics (LAMMPS), or electronic structure calculations (VASP), ParaView transforms raw numerical output into publication-ready 3D visuals. This guide covers data import, essential filters, rendering techniques, and export workflows specifically for materials science applications. Why ParaView […]

Reading Time: 10 minutesHDF5 is the de facto standard for storing large-scale scientific simulation data. Its hierarchical structure, parallel I/O capabilities via MPI, and built-in compression make it ideal for high-performance computing environments. However, improper use—especially poor chunking choices and incorrect parallel access patterns—can lead to severe performance degradation or data corruption. This guide covers HDF5 architecture, parallel […]

Reading Time: 8 minutesBattery electrochemistry modeling using partial differential equations (PDEs) provides high-fidelity simulation of lithium-ion cell behavior. The Single Particle Model (SPM) offers computational efficiency for real-time applications, while the Doyle-Fuller-Newman (DFN) model captures full electrolyte dynamics for high-power scenarios. This guide covers the governing equations, implementation with FiPy, and validation techniques for both approaches. Introduction Lithium-ion […]

Reading Time: 7 minutesEditor’s note: This restored technical overview has been reconstructed from archival project traces, package descriptions, and related scientific computing references to preserve the historical and workflow context of the Illuminator library. Illuminator was not built to make simulation output merely look better. It addressed a more practical problem: how to inspect, store, and move field […]

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 […]