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mixtures of liquid crystals. + +## Features + +- Finite-difference upwind schemes for concentration and tensorial liquid-crystal ordering +- Galerkin Lattice Boltzmann methods for mass and momentum balance in combination with **Trixi.jl** +- Open-source, designed for reproducibility and community use. ## Installation @@ -12,10 +18,64 @@ julia> ] pkg> dev https://github.com/depablogroup/LiquidCrystals.jl.git ``` + ## Dependencies The Finite Element aspect will be handled through `Gridap.jl` ## Usage -Look at the `examples/notbooks` folder to see the library in action. +Examples and notebooks demonstrating the library can be found in the `examples/notebooks` folder. + +## Examples + +### Binary mixture with topological defects +The figure below shows a simulated binary mixture: two isotropic droplets immersed in a nematic environment. + + +

        + +
        Figure: Two isotropic droplets immersed in a nematic environment. Director vectors (white lines) and scalar order parameter (color map 0–0.75). +

        + +--- + +### Droplet under semi-Couette flow +The figures below show the evolution of an axial droplet immersed in an isotropic fluid under semi-Couette flow. +- Left: director vectors (gray lines, scaled according to order parameter values) and scalar order parameter (color map 0–0.8). +- Top right: concentration profile (color map 0–1). +- Bottom right: velocity profile (x-component from -0.07 to 0.07). + +

        + + + + +
        Figures: Time evolution of an axial droplet under semi-Couette flow. Successive time steps from initial conditions to final state. +

        + +--- + +### Droplet under parabolic flow +The figure below shows a snapshot of an axial droplet simulation immersed in an isotropic fluid under parabolic (Poiseuille-like) flow. + +

        + +
        Figure: Axial droplet under parabolic flow. Director vectors (gray lines), scalar order parameter, concentration and velocity profile shown. +

        + +--- + +### Active nematic +The figure below shows a snapshot of an active nematic system. + +

        + +
        Figure: Active nematic snapshot. Director vectors, scalar order parameter and velocity field shown. +

        + +--- + +## Citation + +If you use this package in your research, please cite the repository and relevant publications associated with LiquidCrystals.jl. 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zEtnU|uDF!DHA#m*5+`k!vDR?;*EAwM(pXlJBi)#)(2tAWF97tUPm;{qz;Du#Q`Aw`r2!Iwi|-BAAn=6%tBvC%tfuVc>~Tf#&kX zSU#>(o-usXL6ly3@W7Qmm9~tHWZP}9qr=*E+Rl#t=;=22$iw#cx4z9L7i-qjnz1@> zau7$VIq&~fK#!;*{oSq~=oB|K1H$Q7Lb!;? zTuH&&fHtR}g>uDZCScPVw|e3q%kC-(vqqtWy{}54K`^R9c^D?R(N81NMZoMlGFU@c zSc tH`>QTa1SBU=}urNh(uZ%L7%oT`~UTe Date: Sat, 6 Sep 2025 12:17:13 -0500 Subject: [PATCH 06/10] Update README.md --- README.md | 14 +++++++------- 1 file changed, 7 insertions(+), 7 deletions(-) diff --git a/README.md b/README.md index f3d1ee9..52915ea 100644 --- a/README.md +++ b/README.md @@ -34,7 +34,7 @@ The figure below shows a simulated binary mixture: two isotropic droplets immers

        - +
        Figure: Two isotropic droplets immersed in a nematic environment. Director vectors (white lines) and scalar order parameter (color map 0–0.75).

        @@ -47,10 +47,10 @@ The figures below show the evolution of an axial droplet immersed in an isotropi - Bottom right: velocity profile (x-component from -0.07 to 0.07).

        - - - - + + + +
        Figures: Time evolution of an axial droplet under semi-Couette flow. Successive time steps from initial conditions to final state.

        @@ -60,7 +60,7 @@ The figures below show the evolution of an axial droplet immersed in an isotropi The figure below shows a snapshot of an axial droplet simulation immersed in an isotropic fluid under parabolic (Poiseuille-like) flow.

        - +
        Figure: Axial droplet under parabolic flow. Director vectors (gray lines), scalar order parameter, concentration and velocity profile shown.

        @@ -70,7 +70,7 @@ The figure below shows a snapshot of an axial droplet simulation immersed in an The figure below shows a snapshot of an active nematic system.

        - +
        Figure: Active nematic snapshot. Director vectors, scalar order parameter and velocity field shown.

        From bc8db1726d6bab0f415336e04ec42b8bb5f34f8d Mon Sep 17 00:00:00 2001 From: j-salmeron <95516065+j-salmeron@users.noreply.github.com> Date: Sat, 6 Sep 2025 12:33:20 -0500 Subject: [PATCH 07/10] Create LICENSE.md --- LICENSE.md | 17 +++++++++++++++++ 1 file changed, 17 insertions(+) create mode 100644 LICENSE.md diff --git a/LICENSE.md b/LICENSE.md new file mode 100644 index 0000000..be99b60 --- /dev/null +++ b/LICENSE.md @@ -0,0 +1,17 @@ +GNU GENERAL PUBLIC LICENSE +Version 3, 29 June 2007 + +Copyright (C) 2025 Jonathan Salmerón-Hernández and Pablo Zubieta-Rico + +This program is free software: you can redistribute it and/or modify +it under the terms of the GNU General Public License as published by +the Free Software Foundation, either version 3 of the License, or +(at your option) any later version. + +This program is distributed in the hope that it will be useful, +but WITHOUT ANY WARRANTY; without even the implied warranty of +MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +GNU General Public License for more details. + +You should have received a copy of the GNU General Public License +along with this program. If not, see . From 297d9c4605e98eb85dfdc2c6e68ccf6e4abf01b0 Mon Sep 17 00:00:00 2001 From: Pablo Zubieta <8410335+pabloferz@users.noreply.github.com> Date: Mon, 8 Sep 2025 10:56:23 -0500 Subject: [PATCH 08/10] Update github actions --- .github/workflows/ci.yml | 10 +++++----- 1 file changed, 5 insertions(+), 5 deletions(-) diff --git a/.github/workflows/ci.yml b/.github/workflows/ci.yml index 8ffb91e..c77ff49 100644 --- a/.github/workflows/ci.yml +++ b/.github/workflows/ci.yml @@ -15,8 +15,8 @@ jobs: fail-fast: false matrix: version: - - "1" # Latest Release - - "1.6" # LTS + - "1" # Latest Release + - "1.10" # LTS os: - ubuntu-latest - macOS-latest @@ -31,12 +31,12 @@ jobs: - os: windows-latest arch: x86 steps: - - uses: actions/checkout@v2 - - uses: julia-actions/setup-julia@v1 + - uses: actions/checkout@v5 + - uses: julia-actions/setup-julia@v2 with: version: ${{ matrix.version }} arch: ${{ matrix.arch }} - - uses: actions/cache@v2 + - uses: actions/cache@v4 env: cache-name: cache-artifacts with: From 7c96e30599b4b42381726680e511f010f3801a1b Mon Sep 17 00:00:00 2001 From: Pablo Zubieta <8410335+pabloferz@users.noreply.github.com> Date: Mon, 8 Sep 2025 11:12:42 -0500 Subject: [PATCH 09/10] Update github actions --- .github/workflows/documentation.yml | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/.github/workflows/documentation.yml b/.github/workflows/documentation.yml index b09ec97..40c54eb 100644 --- a/.github/workflows/documentation.yml +++ b/.github/workflows/documentation.yml @@ -11,10 +11,10 @@ jobs: build: runs-on: ubuntu-latest steps: - - uses: actions/checkout@v2 + - uses: actions/checkout@v5 - uses: julia-actions/setup-julia@latest with: - version: '1.6' + version: '1.10' - name: Install dependencies run: julia --project=docs/ -e 'using Pkg; Pkg.develop(PackageSpec(path=pwd())); Pkg.instantiate()' - name: Build and deploy From 0a10835b0acec0ccca5d42f818e3ffabca5657cf Mon Sep 17 00:00:00 2001 From: Pablo Zubieta <8410335+pabloferz@users.noreply.github.com> Date: Mon, 8 Sep 2025 11:19:17 -0500 Subject: [PATCH 10/10] Update buildkite pipeline --- .buildkite/pipeline.yml | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/.buildkite/pipeline.yml b/.buildkite/pipeline.yml index b8f4152..77399ee 100644 --- a/.buildkite/pipeline.yml +++ b/.buildkite/pipeline.yml @@ -3,7 +3,7 @@ steps: - label: ":julia: Run tests on Julia LTS" plugins: - JuliaCI/julia#v1: - version: 1.6 + version: 1.10 - JuliaCI/julia-test#v1: command: | julia -e 'using Pkg;
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