fluids: Convert IFunction_Advection to state structs

fluids: Minor stabilization refactor

fluids: Change skew advection threshold

3rd order requires a 20 CEED_EPSILON instead of just 5

fluids: Refactor diagonal tau calculation

Also correct documentation of tau calculation

fluids: Cleanup misc math

CeedMatrixPseudoinverse utility function (#1251)

* Added CeedMatrixPseudoinverse utility and use it CeedBasisGetCollocatedGrad

* Used pseudoinverse utility in CeedBasisApplyAtPoints

* Update d

CeedMatrixPseudoinverse utility function (#1251)

* Added CeedMatrixPseudoinverse utility and use it CeedBasisGetCollocatedGrad

* Used pseudoinverse utility in CeedBasisApplyAtPoints

* Update description of CeedMatrixPseudoinverse function

Co-authored-by: Jeremy L Thompson <jeremy@jeremylt.org>

* Used pseudoinverse utility in CeedBasisCreateProjectionMatrices

* Updated inline comments

* Added inline comment

* Round matrix-matrix product to zero in CeedBasisCreateProjectionMatrices

* increased tolerance in ex1-volume/src/main.rs

---------

Co-authored-by: Jeremy L Thompson <jeremy@jeremylt.org>

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test: Fix test name for PETSc bps

deal.II - use CEED_BASIS_NONE over CEED_BASIS_COLLOCATED

Merge pull request #1436 from peterrum/dealii

Add deal.II example

Add deal.II example

Co-authored-by: jeremylt <jeremy@jeremylt.org>

fluids: Stats don't overwrite solution on first-step failure

- When you have an initial condition from a previous problem, it might
fail on the first step. This will cause `reason != TS_CONVERGED_

fluids: Stats don't overwrite solution on first-step failure

- When you have an initial condition from a previous problem, it might
fail on the first step. This will cause `reason != TS_CONVERGED_ITERATING`
and thus it will continue on with the rest of the TSMonitor routine.
If you have a stats file from that initial condition, it will be
overwritten.

Regardless of the overwriting behavior, it *never* makes sense to
write out a stats file on the first step; Using left-rectangle rule
for the time averaging integration, the initial step should *never* be
used, thus there is nothing to collect or write.

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test(fluids): Advection skew initial condition

test(fluids): Advection cosine

fluids: Change bubble_type to advection_ic_type

Since cosine_hill and skew aren't bubbles

fluids: Add in cosine hill and skew advection ICs

interface - remove legacy CEED_BASIS_COLLOCATED

style - fix trailing spaces in non-linted files

Merge pull request #1423 from CEED/jrwrigh/fluids_high_order_geom

fluids: Support higher-order geometry

fluids: Support higher-order geometry

fluids: Add uses_newtonian flag

fluids: Ensure all outputs are set in QFunctions

- In support of #1420

Fix initialization of point locations

* Change cell_random to use built-in DMSwarm function

* Ensure uniform point distribution is uniform across cell boundaries

* Fix total number of points in pa

Fix initialization of point locations

* Change cell_random to use built-in DMSwarm function

* Ensure uniform point distribution is uniform across cell boundaries

* Fix total number of points in parallel

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Add BP tests for integration at arbitrary points

Add BPs with integration at arbitrary points

Make file comments and PetscFunctionBegin/Return spacing consistent (#1413)