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Copy file name to clipboardExpand all lines: documentation/rom_simulation/0d-solver/solver/readme.md
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@@ -5,20 +5,20 @@ Zero-dimensional (0D) models are lightweight methods to simulate bulk hemodynami
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0D models are analogous to electrical circuits. The flow rate simulated by 0D models represents electrical current, while the pressure represents voltage. Three primary building blocks of 0D models are resistors, capacitors, and inductors. Resistance captures the viscous effects of blood flow, capacitance represents the compliance and distensibility of the vessel wall, and inductance represents the inertia of the blood flow. Different combinations of these building blocks, as well as others, can be formed to reflect the hemodynamics and physiology of different cardiovascular anatomies.
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#### 0D Solver Theory
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We highlight here the theory behind the 0D solver. For equations and implementation details, we refer to the [documentation](https://stanfordcbcl.github.io/svZeroDPlus/index.html) throught this guide.
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We highlight here the theory behind the 0D solver. For equations and implementation details, we refer to the [documentation](https://simvascular.github.io/svZeroDSolver/index.html) throught this guide.
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#### Governing equations
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Flow rate, pressure, and other hemodynamic quantities in 0D models of vascular anatomies are governed by a system of nonlinear differential-algebraic equations, which are explained in more detail [here](https://stanfordcbcl.github.io/svZeroDPlus/class_sparse_system.html#details).
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Flow rate, pressure, and other hemodynamic quantities in 0D models of vascular anatomies are governed by a system of nonlinear differential-algebraic equations, which are explained in more detail [here](https://simvascular.github.io/svZeroDSolver/class_sparse_system.html#details).
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#### Time integration
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We solve the differential-algebraic system implicitly in time, using the generalized-$\alpha$ method. The details to this method can be found [here](https://stanfordcbcl.github.io/svZeroDPlus/class_integrator.html#details).
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We solve the differential-algebraic system implicitly in time, using the generalized-$\alpha$ method. The details to this method can be found [here](https://simvascular.github.io/svZeroDSolver/class_integrator.html#details).
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#### Assembly
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Similar to a finite element solver, the 0D solver defines local element contributions to the (sparse) [global system](https://stanfordcbcl.github.io/svZeroDPlus/class_sparse_system.html#details). The solver automatically assembles the local contributions into the global arrays. The local elements are referred to as blocks.
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Similar to a finite element solver, the 0D solver defines local element contributions to the (sparse) [global system](https://simvascular.github.io/svZeroDSolver/class_sparse_system.html#details). The solver automatically assembles the local contributions into the global arrays. The local elements are referred to as blocks.
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#### Blocks
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An overview of all currently implemented blocks can be found [here](https://stanfordcbcl.github.io/svZeroDPlus/class_block.html). This collection of building blocks allows to model extensive and complex vascular networks. Many examples of vascular networks can be found [here](https://github.com/StanfordCBCL/svZeroDPlus/tree/master/tests/cases).
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An overview of all currently implemented blocks can be found [here](https://simvascular.github.io/svZeroDSolver/class_block.html). This collection of building blocks allows to model extensive and complex vascular networks. Many examples of vascular networks can be found [here](https://github.com/simvascular/svZeroDSolver/tree/master/tests/cases).
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<!-- Todo: write and add link to Doxygen guide on adding new blocks here-->
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#### References
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Relevant literature can be found [here](https://stanfordcbcl.github.io/svZeroDPlus/citelist.html).
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Relevant literature can be found [here](https://simvascular.github.io/svZeroDSolver/citelist.html).
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