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Quantum & Classical CFD for Navier-Stokes Flows

author: faisal shaik (@mrdandelion6)

this repository is a culmination of my research as i investigate and implement various classical and quantum algorithms for simulating the flow of a fluid through time and space as governed by the navier-stokes equations.

make sure to see the LICENSE file before using any of the content in this repository.

my paper

a detailed summary of all my findings can be found in paper/paper.pdf. this includes a rough introduction to navier-stokes for those who would like a ground-up introduction to my work.

simulation code

you can find all code written by me in code/. you can find fully classical algorithms in code/classical/ and hybrid classical-quantum algorithms in code/quantum/. you will find detailed instructions in the readme files on running the code for yourself.

references

i have read various textbooks and research papers , all of which can be found in REFERENCES.md. you can also see paper/references.bib for the bibtex citations for any papers whose results i mentioned or used in any way in my work. papers i've especially read can also be found as pdfs in references/.

acknowledgments

i began this research under the supervision of professor Dennis Fernandes for the thesis course PHY473 at the university of toronto. it was thanks to his trust and enthusiasm towards my project proposal that i started my investigation into these topics. the version of my paper that i submitted as partial credit for PHY473 can be found in papers/PHY473/report.pdf.

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quantum and classical hybrid algorithms in CUDA for solving navier-stokes equations and simulating fluid flows. includes a paper culminating my research on quantum CFD.

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