{"id":19486164,"url":"https://github.com/tgautam03/wavesim","last_synced_at":"2025-09-19T22:48:39.777Z","repository":{"id":238036228,"uuid":"795725227","full_name":"tgautam03/WaveSim","owner":"tgautam03","description":"1D and 2D Wave simulation from scratch","archived":false,"fork":false,"pushed_at":"2024-06-24T04:02:16.000Z","size":40571,"stargazers_count":2,"open_issues_count":0,"forks_count":0,"subscribers_count":1,"default_branch":"master","last_synced_at":"2025-01-08T07:52:01.570Z","etag":null,"topics":["finite-difference-method","partial-differential-equations","pde","wave-simulation","wave-simulator","waves"],"latest_commit_sha":null,"homepage":"https://tgautam03.github.io/WaveSim/","language":"Julia","has_issues":true,"has_wiki":null,"has_pages":null,"mirror_url":null,"source_name":null,"license":"mit","status":null,"scm":"git","pull_requests_enabled":true,"icon_url":"https://github.com/tgautam03.png","metadata":{"files":{"readme":"README.md","changelog":null,"contributing":null,"funding":null,"license":"LICENSE","code_of_conduct":null,"threat_model":null,"audit":null,"citation":null,"codeowners":null,"security":null,"support":null,"governance":null,"roadmap":null,"authors":null,"dei":null,"publiccode":null,"codemeta":null}},"created_at":"2024-05-03T22:36:18.000Z","updated_at":"2024-12-02T03:29:46.000Z","dependencies_parsed_at":"2024-05-07T00:25:21.821Z","dependency_job_id":"91646a6c-60b7-42ed-b52a-b411278fea18","html_url":"https://github.com/tgautam03/WaveSim","commit_stats":null,"previous_names":["tgautam03/wavesim"],"tags_count":0,"template":false,"template_full_name":null,"repository_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/tgautam03%2FWaveSim","tags_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/tgautam03%2FWaveSim/tags","releases_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/tgautam03%2FWaveSim/releases","manifests_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/tgautam03%2FWaveSim/manifests","owner_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners/tgautam03","download_url":"https://codeload.github.com/tgautam03/WaveSim/tar.gz/refs/heads/master","host":{"name":"GitHub","url":"https://github.com","kind":"github","repositories_count":240723246,"owners_count":19847258,"icon_url":"https://github.com/github.png","version":null,"created_at":"2022-05-30T11:31:42.601Z","updated_at":"2022-07-04T15:15:14.044Z","host_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub","repositories_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories","repository_names_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repository_names","owners_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners"}},"keywords":["finite-difference-method","partial-differential-equations","pde","wave-simulation","wave-simulator","waves"],"created_at":"2024-11-10T20:34:53.360Z","updated_at":"2025-09-19T22:48:34.752Z","avatar_url":"https://github.com/tgautam03.png","language":"Julia","readme":"# WaveSim\n1D and 2D wave simulation from scratch. For more details, please check out this [YouTube video](https://youtu.be/4IL8n8yYNjw).\n\n![thumbnail](https://raw.githubusercontent.com/tgautam03/WaveSim/master/thumbnail.png)\n\n\nThe repository is setup as a package with source code in the folder named `src`. \n\n\u003e Before running the demo files, please add this package to your Julia global environment.\n\n- To run the 1D wave equation demo, please open `app_1d.jl` file in Pluto notebook.\n\n- To run the 2D wave equation demo, please open `app_2d.jl` file in Pluto notebook.\n\n### Quick instructions for adding `WaveSim` package to the global environment\n\u003e WARNING: The instructions below might not work, so please do check out the official Julia programming language webpage for instructions.\n\n- Open Julia in the terminal and make sure that the working directory is `WaveSim` folder.\n- Move to the Pkg manager by pressing `]` key.\n- Execute `dev .` command. This should add `WaveSim` to the global environment.\n- Execute `instantiate` command.\n- Go back to the Julia prompt and open Pluto notebooks.\n\n\n## Topics\n- **1D Wave Equation**\n    - Finite Difference Method\n    - Simulation Accuracy and Stability\n        - Numerical Dispersion\n        - Fine vs. coarse grid\n        - Higher-order Finite Difference approximations\n        - Von Neumann Analysis\n    - Boundary Conditions\n        - Dirichlet boundary condition\n        - Neumann boundary conditions\n        - Absorbing boundary conditions\n- **2D Wave Equation**\n    - Finite difference method for 2D problem\n    - Heterogeneous medium\n    - Simulation Accuracy and Stability\n        - Numerical Dispersion\n        - Fine vs. coarse grid\n        - Higher-order Finite Difference approximations\n        - Von Neumann Analysis\n    - Boundary Conditions\n        - Dirichlet boundary condition\n        - Neumann boundary conditions\n        - Absorbing boundary conditions\n\n## References\n- [FDM 5-point stencil](https://math.stackexchange.com/questions/262701/how-to-obtain-prove-5-stencil-formula-for-2nd-derivative)\n- Excellent resources on Von Neumann analysis:\n    - [MIT notes](https://math.mit.edu/classes/18.300/Notes/Notes_vNSA.pdf)\n    - [Jeff Chasnov's YouTube video](https://www.youtube.com/watch?v=QUiUGNwNNmo)\n    - [LMU Seismology](https://www.youtube.com/watch?v=5_VtrWGaEGM)\n- [Absorbing boundary condition](https://www.jpier.org/ac_api/download.php?id=0506213)","funding_links":[],"categories":[],"sub_categories":[],"project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Ftgautam03%2Fwavesim","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Ftgautam03%2Fwavesim","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Ftgautam03%2Fwavesim/lists"}