
Over a two-month period, contributed to the obokhove/FDnumerics2024 repository by developing and enhancing linear advection solvers using Python and C++. Focused on implementing FEM-DG0 and FVM-Godunov methods, the work included refactoring flux variable naming for clarity and generalizing interior flux computations to support varying facet orientations. Visualization played a central role, with Matplotlib used to differentiate exact and numerical solutions and to facilitate onboarding through sample codes. Additional efforts included introducing a smooth Riemann problem initial condition to systematically explore CFL effects, establishing a repeatable validation workflow, and improving code stability through targeted refactoring and debugging support.
Month: 2024-11 – Focused on delivering visualization-driven enhancements for the Linear Advection Equation (LAE) solver and enabling systematic exploration of CFL effects via a smooth Riemann problem initial condition. Implemented FEM-DG0-based LAE solving, improved visualization to clearly differentiate exact vs numerical solutions, added a debugging breakpoint, and established a repeatable workflow for validating CFL sensitivity.
Month: 2024-11 – Focused on delivering visualization-driven enhancements for the Linear Advection Equation (LAE) solver and enabling systematic exploration of CFL effects via a smooth Riemann problem initial condition. Implemented FEM-DG0-based LAE solving, improved visualization to clearly differentiate exact vs numerical solutions, added a debugging breakpoint, and established a repeatable workflow for validating CFL sensitivity.
October 2024 — Obokhove/FDnumerics2024: Delivered robust enhancements to linear advection solvers and improved code clarity, with demonstrative visuals and onboarding support. Key outcomes include new solver variants (FEM-DG0 and FVM-Godunov), clearer flux naming, and a generalized interior flux formulation to handle varying facet orientations. No major bugs fixed this month; stability improvements were achieved through refactoring and sample code coverage, enabling faster adoption and more reliable simulations.
October 2024 — Obokhove/FDnumerics2024: Delivered robust enhancements to linear advection solvers and improved code clarity, with demonstrative visuals and onboarding support. Key outcomes include new solver variants (FEM-DG0 and FVM-Godunov), clearer flux naming, and a generalized interior flux formulation to handle varying facet orientations. No major bugs fixed this month; stability improvements were achieved through refactoring and sample code coverage, enabling faster adoption and more reliable simulations.

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