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I am investigating gravity-driven liquid films flowing over a corrugated substrate with an extended WIBL model, and the base solution is strictly periodic. The next step is a full Floquet stability analysis of that periodic state so I can identify the short-wave instability noses and the curious stability islands created by the substrate’s geometry. All governing equations and parameter ranges are ready; what I still need is a clean, reproducible Floquet framework that extracts the multipliers for each wavenumber and returns clear stability maps. You are free to work in MATLAB, Python (NumPy/SciPy), or Julia as long as the code is well commented and numerically robust—spectral collocation or a high-order finite-difference approach is fine as long as convergence is demonstrated. Deliverables • A runnable script or notebook that assembles the monodromy matrix for the periodic WIBL coefficients and computes the Floquet multipliers across user-defined parameter grids • Plots that highlight the predicted instability noses and stability islands, ready for publication (vector format preferred) • A concise technical note summarising the formulation, numerical method, verification checks, and how to reproduce the figures Acceptance criteria: the dominant multiplier spectrum must match my reference case within 1 % and the code must complete a typical parametric sweep (200 wavenumbers × 50 Reynolds numbers) in under 10 minutes on a standard laptop. Feel free to suggest efficiency tweaks or alternative numerical schemes if they improve accuracy without sacrificing clarity.
Projektin tunnus (ID): 40198932
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9 freelancerit tarjoavat keskimäärin ₹10 833 INR tätä projektia

Hi there, I can implement a clean, fast Floquet stability framework for your periodic WIBL base state. The code will compute monodromy matrices and Floquet multipliers over parameter grids, and produce publication-ready stability maps showing instability noses and stability islands. I’ll work in MATLAB or Python, ensure convergence and <1% agreement with your reference case, and optimize so full sweeps run in under 10 minutes. A short technical note will document the method and reproduction steps. Best regards,
₹15 000 INR 1 päivässä
5,2
5,2

I’m able to build a clean, fully reproducible Floquet stability framework for your periodic WIBL base state and carry it through to publication-quality results. I have experience implementing Floquet analyses for spatially periodic and time-periodic systems, assembling monodromy operators from linearized PDEs, and extracting multiplier spectra with spectral collocation or high-order finite-difference schemes. I’m comfortable working in MATLAB, Python (NumPy/SciPy), or Julia, and I place strong emphasis on numerical robustness, convergence checks, and transparent code structure so the formulation and results are easy to verify and extend. I can deliver a runnable script or notebook that sweeps wavenumber–Reynolds grids efficiently, produces clear stability maps highlighting short-wave instability noses and geometry-induced stability islands, and exports vector-format figures ready for publication. Alongside the code, I’ll provide a concise technical note documenting the linearization, Floquet formulation, numerical choices, validation against your reference case (within the 1 % tolerance), and exact steps to reproduce every figure. I’m also happy to suggest and implement performance optimizations or alternative discretizations if they improve accuracy or runtime while keeping the methodology clear and defensible.
₹10 000 INR 7 päivässä
4,0
4,0

Dear Sir/Madam, I have experience with Floquet stability analysis and numerical methods for periodic fluid-flow models. I’m confident I can build a clean, reproducible framework to compute Floquet multipliers for your periodic WIBL solution and generate clear stability maps showing instability noses and stability islands. Let’s connect in the chatbox to discuss the project further, including the budget and timeline. To know more about my experience, let's talk in a freelancer call, and I can share more details and sample works in the chatbox. I am ready to work with you, please connect in the chatbox for further discussions. Thank You. Dr. Divya.
₹7 000 INR 7 päivässä
3,3
3,3

Hello I just read out your description and am interested in your project. I am an Expert in MATLAB, Python and have also worked with it in the past. If you need Quality Work, then feel free to contact me Thanks
₹12 500 INR 7 päivässä
3,1
3,1

Hello rishikeshn4, I checked your project, and it looks interesting. This is something we already work on, so the requirements are clear from the start. We mainly work on Python, Matlab and Mathematica, Algorithm, Mathematics, NumPy, SciPy, Scientific Computing, MATLAB We focus on making things simple, reliable, and actually useful in real life not overcomplicated stuff. Let’s connect in chat and see if we’re a good fit for this. Best Regards, Ali nawaz
₹25 000 INR 8 päivässä
0,0
0,0

Hi there, You’re absolutely in the RIGHT PLACE. I’ve delivered SIMILAR PROJECTS multiple times and know EXACTLY how to execute this efficiently and correctly from day one. To lock down the SCOPE, TIMELINE, AND PRICING, I’ll need to ask you a few key questions. Unfortunately, Freelancer’s 1500 CHARACTER LIMIT doesn’t allow me to break everything down properly here. Let’s jump on CHAT so I can show you my PROVEN PAST WORK, walk you through the REAL RESULTS I’ve delivered, and outline a CLEAR ACTION PLAN for your project. You’ll immediately see why my approach is DIFFERENT and EFFECTIVE. If you’re serious about getting this done RIGHT, I’m ready to move forward. Looking forward to CONNECTING and WINNING TOGETHER. Cheers, Mayank B
₹7 000 INR 7 päivässä
0,0
0,0

New freelancer. Experienced developer. Fully committed to your success. I’m building my reputation, which means I care more about quality and satisfaction than the paycheck, giving you dedicated effort, clear communication, and excellent results at a competitive rate. I'm also offering 6 months of free maintenance!!! With deep expertise in Python, I am more than ready to take on your project and produce the Floquet stability analysis you need. My rigorous approach to code writing aligns well with the specific requirements of your work - clean, Pythonic code that is well-commented and numerically robust. With my skills in spectral collocation and high-order finite-difference approaches, I'm confident that I can deliver a full Floquet framework that not only extracts the multipliers for each wavenumber but also returns clear, publication-ready stability maps highlighting predicted instability noses and stability islands. Additionally, I understand the value of time and computational efficiency in research projects. To that end, I will ensure my code runs a typical parametric sweep within your specified timeframe on any standard laptop. If needed, I am happy to suggest any efficiency tweaks or alternative numerical schemes that could improve accuracy without sacrificing clarity.
₹7 000 INR 7 päivässä
0,0
0,0

Hello, I have carefully reviewed your project on Floquet Stability Analysis for film and I am confident I can deliver accurate and well-documented results. I have strong experience with MATLAB, numerical methods, differential equations, and stability analysis, including Floquet theory for periodic systems. I understand how to compute monodromy matrices, Floquet multipliers, and interpret stability regions clearly. My approach will include: Proper mathematical formulation of the problem Clean, well-commented MATLAB code Correct stability plots and interpretation Clear explanation of results for easy understanding I focus on accuracy, clarity, and timely delivery. I will also provide support if any modification or explanation is needed after delivery. Looking forward to working with you. Best regards, Mayank
₹7 000 INR 7 päivässä
0,0
0,0

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